1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
True [87]
2 years ago
9

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?
Mathematics
1 answer:
pashok25 [27]2 years ago
3 0

Answer:

<em>79,920 different ways</em>

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

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

<em> 120 * 666 = 79,920 ways</em>

You might be interested in
Multi step equation 7x+8=36​
Vitek1552 [10]

Hey

Answer: 4

How do you find that out?

Divide the two numbers on the right, 36 and 8.

36/8=4

7 * 4 + 8 = 36

Hope this helped

4 0
3 years ago
Read 2 more answers
A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their o
bezimeni [28]

Answer:

10779

i think some error in this question

6 0
2 years ago
BRAINLIEST YOU WILL BE MARKED BRAINLIEST
kifflom [539]

Answer:

D

Step-by-step explanation:

ABCD is the same as JKML

M=D

4 0
3 years ago
Read 2 more answers
Ella began doing her homework at a quarter five in the afternoon she finished her homework at 5:35 how long did it take Ella to
Alisiya [41]

Answer: 50 minutes

Step-by-step explanation: a quarter to 5 is always 15 minutes from 5, 4:45. So 5:35-4:45 is 50.

4 0
2 years ago
Which equation is equivalent to 2x+4a=10 A. X= 5/4a B.5+2a C. X=10-4a D. X=5-2a
kifflom [539]
Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is f+0.3&lt;-1.7 please help
    10·2 answers
  • What is circumference of a circle with a radius of 25 feet?
    15·2 answers
  • Negative Exponents- All of the following expressions are equal except _____.
    7·1 answer
  • Tell whether 4/2 and 14/7 form a proportion
    9·1 answer
  • 9% tax on a $59.99 purchase what is the sales tax?
    9·1 answer
  • Match each word to the appropriate example using the expression 5a + 9b - 4.
    5·2 answers
  • Solve the quadratic equation by completing the square. x2+6x+7=0 First, choose the appropriate form and fill in the blanks with
    12·1 answer
  • Which inequality is true
    8·2 answers
  • Round the numbers to estimate the quotient.
    7·2 answers
  • Is (1,7) a solution to the inequality y &lt; 3x + 3?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!