How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two students? how many ways can the committee of five members be selected?

Answers

Answer 1

Answer:

79,920 different ways

Step-by-step explanation:

Combination has to do with selection:

If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 ways

Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;

37C2 = 37!/(37-2)!2!

37C2 = 37!/35!2!

37C2 = 37*36*35!/35!*2

37C2 = 37*36/2

37C2 = 37 * 18

37C2 = 666 ways

Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666

120 * 666 = 79,920 ways


Related Questions

What is 360 divided by 12 explain your answer ​

Answers

Answer:

360 divided by 12 is 30 because 12 times 30 is 360

Step-by-step explanation:

Answer:

the answer most likely might be =30

Step-by-step explanation:

360÷12=30

10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.

Answers

Answer:

The Box 1 and Box 2 are the same mass.

Explanation:

It caused both to change speed because they have both the same mass.

what is the answer to the question?​

Answers

Answer:

17

Step-by-step explanation:

We have two congruent triangles here.  Thus, b must be 17.

Answer:

17

Step-by-step explanation:

sides r congruent

find the slope from the graph. (3,-1) (0,-3)

Answers

I found the slope for these numbers

How many packages of gum can you buy with $18 if one package cost $2?

Which equation best represents this word problem?

Group of answer choices

18 x 2 = p

p - 18 = 2

p + 2 = 18

2p = 18

Answers

Answer:

2p = 18

Step-by-step explanation:

Please help easy ten points.

Answers

Answer:

Yes

Step-by-step explanation:

i believe they are all yes.

plz help me with mathhthhtht

Answers

Answer:

ok

Step-by-step explanation:

Answer:

1. 17

2. 4

3. 3

4. 9

Step-by-step explanation:

An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.

Answers

Answer:x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:

Answers

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Step-by-step explanation:

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.

Their rates is calculated as:

For Lin

Lin read the first 54 pages from a 270-page book in the first 3 days.

54 pages = 3 days

270 pages = x

Cross Multiply

54x = 270 × 3

x = 270 × 3/54

x = 15 days

For Diego

Diego read the first 100 pages from a 320-page book in the first 4 days.

100 pages = 4 days

320 pages = x days

Cross Multiply

100x = 320 × 4

x = 320 × 4/100

x = 12.8 days

For Elena

Elena read the first 160 pages from a 480-page book in the first 5 days.

160 pages = 5 days

480 pages = x days

Cross Multiply

160x = 480 × 5

x = 480 × 5/160

x = 15 days

If they continue to read every day at these rates, who will finish first, second, and third?

Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

!PLEASE HELP!
Eight times the square of a negative
integer plus 24 times the negative
integer equals 80. Find the unknown
negative integer.

Answers

Answer:

-2

Step-by-step explanation:

8(-a)^2+24*-a=80

or,8a^2-24a=80

or,8a^2-24a-80=0

or,8(a^2-3a-10)=0

or,a^2-3a-10=0

or,a^2-(5-2)a-10=0

or,a^2-5a+2a-10=0

or,a(a-5)+2(a-5)=0

or,(a-5)(a+2)=0

either,

a-5=0

•°•a=5

or,

a+2=0

•°•a=-2(negative integer)

The value of the unknown integer is -2.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given data eight times the square of a negative integer plus 24 times the negative integer equals 80 in the form of the mathematical expression will be written as:-

8(-a)²+24-a=80

8a²-24a=80

8a²-24a-80=0

8(a²-3a-10)=0

a²-3a-10=0

a²-(5-2)a-10=0

a²-5a+2a-10=0

a(a-5)+2(a-5)=0

(a-5)(a+2)=0

a-5=0

a=5 or, a+2=0 a=-2

Therefore, the value of the unknown integer is -2.

To know more about an expression follow

brainly.com/question/723406

#SPJ5

please help me with this question

Answers

Answer:

corresponding

Step-by-step explanation:

2 is not in the interior

The only numbers in the interior is 4, 11, 6, and 13

So crossing those two options we are left with corresponding

Please hurry and thanks in advance

Answers

Answer:

64 bags

Step-by-step explanation:

number of bags sold by Takis Scorpion BBQ = x

Number of bags sold by Takis Valcano Quesco = 3x - 6

the total number of bags = x + ( 3x - 6 )

x + 3x - 6 = 250

therefore, 4x - 6 = 250

4x = 250 + 6

4x = 256

dividing through by 4

x = 64

please answer the second question what does it mean and is it realistic

Answers

Answer:

The more staff there is, the lower the wait time. Yes, this is realistic.

Step-by-step explanation:

Lorena calculated the slope of the linear function that is represented by the table of values as shown.


What did she do wrong?​

Answers

Answer:

Added wrong -2--4=6

Step-by-step explanation:

because when a nagtive and nagative add up it ends up postive

Answer:

the answer is C i took the test

Step-by-step explanation:

She made a mistake when she subtracted x 1 from x 2


Please help

2) A surprisingly spherical decepticon is rolled up a constant
slope with an initial velocity of 9.3 m/s. What is the
acceleration of the decepticon if its displacement is 1.9 m
up the slope after 2.7 s?​

Answers

Answer:

go to my account and answer the latest question and say lol u dont

have to answer it tho just put lol for 25 free points.

What is the y-intercept of 2y=-3x+18

Answers

Answer:

18

Step-by-step explanation:

y  = mx + b

m = slope

b = y-intercept

The Y-intercept is Y=9 or (0,9 )

2y = -3x + 18

The -3x crosses

2y = 18
———— Y=9
2 2

I hope that helps.

Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1

Answers

x>1 i’ve took this before

A restaurant customer left ​$ as a tip. The tax was and the tip was ​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

The sum of two numbers is 153. The larger number is twice the smaller number. Find both numbers.

Answers

Answer:

The 2 numbers are

102 and 51

Step-by-step explanation:

A + B = 153

A=2B

So 2B+B=153

3B=153

B=153/3=51

A=51*2=102

through: (2, 5), slope = 1/2 *50 POINTS!*

Answers

Answer:

y−5=−2(x−2)

Step-by-step explanation:

Point slope form of a line is the standard

Write an equation, please help

Answers

Answer:

y = -6/5x + 2

Answer:

5\6x-2

Step-by-step explanation:

Y=(10-6x)\5

Y= 2-6\5x

Slope of line 1 = -6\5

Slope of line 2*(slope of line 1 )= -1

Slope of line 2 *-6\5=-1

Slopes of line 2 = 5\6

(X-x0)m = y-y0

(X-6)*5\6=y-3

5\6x -5 = y-3

Y= 5\6x -2

Find the percent of markup for $13.50 marked up to $25. Round to the nearest percent.


A.
46%


B.
85%


C.
11.5%


D.
72.5%

Answers

Answer:

B

Step-by-step explanation:

Answer:

Just took the test the answer is 85%

What is the price of the item after the discount?

Answers

Answer:

$1.44

Step-by-step explanation:

please help i need this done by today

Answers

Answer:

B

Step-by-step explanation:

REALLY URGENT!!!!! ANSWER FAST!!!!

Answers

Answer:

if am sure it's A

Step-by-step explanation:

I NEED HELP WITH 2 and 3 HELPPPPPPP

Answers

2) True
3) Ligaments
Hope this helps

Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?

Answers

the answer would be $65

Answer:65

Step-by-step explanation:

13x5=65

A recipe requires 5/6 cup of raisins for one batch of muffins. How many batches can be made with three 1/3 cup of raisins

Answers

Answer:

4 batches

Step-by-step explanation:

In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of ​ triangle ABD ​ at vertex A. BC=4.2 in. and CD=9.6 in..

What is the length of AC¯¯¯¯¯?

Answers

Answer:

AC = 6.35 in.

Step-by-step explanation:

BC times CD

4.2(9.6) = 40.32

The square root of 40.32 = 6.3498031465550174172038778087342

Round your answer to the nearest hundredth

AC = 6.35 in.

Can someone help me with this one​

Answers

The answer is C. It’s not A or B since 6^3(6*6*6) is equal to 126 and to get rid of the negative you would have to use its reciprocal which is 1/126
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