How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?


Answers

Answer 1

The selection of the committee members is an illustration of combination

There are 150150 different ways of selecting the committee

How to determine the total selection

The number of members (n) is:

n = 15

The members on the committee are (r):

r = 4

So, the number of selection is:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15!}{(15 - 4)!4!}[/tex]

Evaluate the differences

[tex]^{15}C_4 = \frac{15!}{9!4!}[/tex]

Expand

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}[/tex]

[tex]^{15}C_4 = 150150[/tex]

Hence, there are 150150 different ways of selecting the committee

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Related Questions

here is the question plss​

Answers

Answer:

132.3

Step-by-step explanation:

follow the order of BODMAS

Answer:

1323/10

Step-by-step explanation:

1/2*15*(21/5) the power of 2

1/2*15*441/25

1/2*3*441/5

1323/10 or 132.3

Which of the following is NOT a result of water being a polar molecule? A. a slight negative charge on the oxygen B. a slight positive charge on the hydrogens C. the water molecules stick together because of their opposite charges D. some substances must dissolve into water to move into and out of a cell​

Answers

The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

How to determine the false option?

The water molecules contains

Oxygen atomsHydrogen atoms

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

Read more about polar molecules at:

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Please answer!!!!!!!!!!!

Answers

Answer: A) (-10,-8)
The answer will be A , (-10,-8)

solve pls brainliest

Answers

Both fractions have the same denominator so you just need to subtract the numerators:

14-4 = 10

They had 10/15 left.

This can be simplified to be 2/3

Answer: they had 2/3 pounds left.

Answer:

2/3 pounds left

Step-by-step explanation:

10/15 pounds left because

14/15 - 4/15 = 10/15

10/15 = 2/5

A brainliest would be appreciated if this helped you! :)

- profparis

Rationalise 5 divide by square root of 12

Answers

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 [tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]

Find the value of x for which ABCD must be a parallelogram.

Answer options:


5


3


17


34

Answers

Answer:

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

x = 5

Therefore, the value of x is 5.

A 4-pack of notebooks costs $1.11. What is the unit price, rounded to the nearest cent? ​

Answers

Answer:

$0.3

Step-by-step explanation:

$1.11 divided by 4 notebooks. Each notebook costs $0.3.

How many sides does a regular polygon have if each interior angle measures 165

Answers

Answer:

24 sides

Step-by-step explanation:

70 points! please help~~!

Answers

Answer:

All you have to do multiply the length by width and you'll find your answer

Step-by-step explanation:

Really hope it help

Please solve this

NO LINKS

Answers

Answer:

The answer is A

Step-by-step explanation:

Point F just has to go right 1 and down 5 to get to the point (-1,0)

Hope this helped

Which of the following is the graph of f(x) = x 3?



Click on the graph until the correct graph appears.

Answers

Step-by-step explanation:

I assume you meant to type f(x) = x³

Graph the function into desmos (or calculator if you have a graphing calculator)

Calculate the Volume and surface area

Answers

Answer:

volume= 1040

surface area=696

Step-by-step explanation:

1/2x 13x10x16

=1040#

(1/2x12x10)2

=120

(16x13)2

=416

16x10

=160

120+426+160

=696#

Write an equation that Han can use to find t, the time it will take to ride 24 miles, if his rate in miles per hour is represented by r.

Answers

Answer:

t = 24r

Step-by-step explanation:

T represents the time 24 is the miles and r represents the miles per hour.

Please help ASAP first correct answer will get brainleist​

Answers

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

Please mark my answer brainliest

[tex]\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg[/tex]

why will i be a good role model essay
please i need help this is due tomorrow ​

Answers

Answer:

Relate the points down below to yourself and give examples

Step-by-step explanation:

You show confidence and leadership

Being yourself/unique

You speak and interact kindly with everyone

You show respect and concern for others

You give advice to those who need it

You have humility and a willingness to admit mistakes.

You do good things outside of school

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Common ratio is 4

means each time the sequence becomes 4times more

Check B

1(4)=44(4)=16

Check D

2(4)=88(4)=32

Yes, Option B and D are correct

Be sure to express answers with positive exponents
(B^3)^2

Answers

Answer:

b[tex] {}^{6} [/tex]

Step by Step Solution

STEP 1:

1.1 b[tex] {}^{3} [/tex]raised to the 2 nd power = b([tex] {}^{( 3 * 2 )} [/tex]= b[tex] {}^{6} [/tex]

Final result :

b[tex] {}^{6} [/tex]

You start at (2, 4). You move up 6 units and left 1 unit. Where do you end?

Answers

Answer:

(1,10)

Step-by-step explanation:

2-1=1

4+6=10

Answer:

(1, 10).

When you pit on a graph, you are able to easily see that going up 6 and left 1 will put you at (1, 10).

Which model shows 1/3 of 6 shaded?
(if you answer ill give your brainliest:)<3)​

Answers

Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

help me out on this one i will give u brainlyiest

Answers

Answer:

12 4/8

Step-by-step explanation:

1. First step

ADD

7+4=11

7+5=12

so

11[tex]\frac{12}{8}[/tex]

2. Second step

Now simplify

11 12/8 = 12 4/8 = 12 1/2

----------------------------------------------------------------------------------------------------------

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

Want to thank me? JUST MARK ME BRAINLIEST! So simple!

Geometry help would be greatly appreciated.

Answers

we hat is the measure of ABC Is15

the height of a cone is 16 cm and its base radius is 12 cm. find the curved surface area and the total surface area of the cone​

Answers

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

The height of a cone is 16 cm.Its base radius is 12 cm.

To Find :

The curved surface area of the cone. The total surface area of the cone.

Solution :

h = 16 cmr = 12 cm

Here,

h is denoted as height. r is denoted as radius.

So, from l² = h² + r², we have :

The slang height of the cone is represented by l.

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]

If BCDE is congruent to OPQR, then DE is congruent to _______.

Answers

QR

Reason:

Imagine creating a rectangle with

B———C And O———P
| | | |
D———E Q———R

You can see that line QR is the congruent (the same size) as line DE.

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Please help me with my homework needs to be done ​

Answers

Answer:

13. i dint understand

14. 9

15. (D)

16. (C)

17. I guess (A)

Step-by-step explanation:

Hope it helps!!!

Alberto's monthly income is $3,200.Part of Alberto's monthly budget is shown in the table. what percentage og Alberto's income is used to pay for his rent and groceries? ​

Answers

The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.

How to calculate the percentage

Amount for rent = $896

Amount for groceries = $384

Total amount = $1280

Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:

= 1280/3200 × 100

= 0.4 × 100

= 40%

Learn more about percentages on:

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Answer

40% of Alberto's income is used to pay rent and goceries.

Step-by-step explanation:

1. Add his rent and goceries....

2. =$1280

3.Divide: 1280/3200

4.=0.4

5. 0.4x100

6. =40%

find the x and y intercepts
c) x + 3y - 12=0

Answers

To get x intercept:
let y=0,x➖12=0,x=12
so x intercept point (12,0)
To get y intercept:
let x=0,3y➖12=0,y=4
so y intercept point (0,4)

Which of the following equations is equivalent to -7x + 4 +9 -3x
15?
A. 4x + 13=15
B. -10x +5 = 15
C. -10x + 13=15
D. 23x=15
Best get brainiest!!!

Answers

Answer:

c 9+4= 13 and -7+-3 is -10 and 15 is 15 XD

Please help with homework.
My question is:
[tex](x+7)^{4}[/tex]
Help ASAP! Please! :(

Answers

Answer:

[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]

explanation:

[tex]\sf (x+7)^4[/tex]

[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]

[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]

[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]

[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]

note: just keep multiplying and simplifying with patience.

[tex](x + 7)^{4} [/tex]

Write 4 as a sum

[tex] {(x + 7)}^{2 + 2} [/tex]

Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression

[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]

Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression

[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]

Multiply the parentheses

[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]

Collect like terms

[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]

Piecewise function question please help!

Answers

Answer:

b

Step-by-step explanation:

We know we are trying to find an inverse function and the normal function of the first part would be (x+7)²-5, so we can eliminate all equations with an equation starting with  (x+7)²-5. So, a and f are out of the scope.

The domain of the inverse function will be the range of the normal function.

So, the range of the first part of the inverse function is -5 < x < -3 which is the domain of the normal function. Now, we can eliminate c, d, and e.

Our answer must be b.

Answer:   Choice B

=====================================================

Explanation:

The endpoint (-7,-5) reflects over the line y = x when forming the inverse. It will reflect to (-5,-7). The x and y coordinates swap.

The new point (-5,-7) forms the vertex of a piece of a parabola. Since it's the vertex, we have something of the form y = a(x+5)^2 - 7 which matches with choices B and D.

However, we can rule out choice D because the interval is not x < -3. Try out a point like x = -100 and it will make x < -3 true, but -100 is definitely not part of the reflected parabola formed. Instead, we must have -5 < x < -3 as the domain of the inverse.

Notice how the range of the square root portion on the left is -5 < y < -3. The range of the original function forms the domain of the inverse, and vice versa. Effectively, all we're doing is replacing y with x when going from -5 < y < -3 to -5 < x < -3.

--------------

Also another reason we can rule out choice D is to see that something like x = -2.5 will make log(x+2) to result in a non-real number. This is due to the fact that the domain of log(x) is x > 0. So the domain of log(x+2) is x > -2.

Chase plays the piano and the cello. For every 2 hours he practices the piano, he practices the cello for 3 hours. If he practiced the piano for 7 hours last week, how many hours did he spend practicing the cello?

Answers

Answer:

he spent  practicing the cello 10.5  hours

Step-by-step explanation:

The proportion is  1.5   (3/2)

7x1.5 = 10.5

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