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]
3 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]3 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
Simplify this expression leaving your answer in index form​
kenny6666 [7]

Answer:

solution is 9a^16

Step-by-step explanation:

(6)^2= 36

(a^5)^2= a^25

36a^25/(9a^9)

(36/9)= 4

(a^25)/(a^9)= a^(25-9)= a^16

3 0
3 years ago
What is 11 minus a number to equal -3
NNADVOKAT [17]

Answer:

14

Step-by-step explanation:

11  - n = -3

-n = -3 - 11 = -14

n = 14

OR

add n to both sides of equation and add 3 to both sides of equation:

11 - n + n + 3 = -3 + n + 3 ----> n = 14

3 0
3 years ago
,Suppose that 80\%, percent of trees in a forest of 300 trees are infected with a virus, and we take an SRS of 5 trees to test f
Llana [10]

Answer: .0512

Step-by-step explanation:

5 0
3 years ago
Explain a strategy u could use to compare 2/6 and 5/8.
Schach [20]
Try to get the fractions with same denominators. Use the LCD system to find equal factors to a common denominator. Then just simply compare it. 

*Note: Larger fraction is the greater numerator.*

Hoped this helped.

~Bob Ross® 
6 0
3 years ago
Answer correctly for brainleist and 5 mark
notsponge [240]

Answer:

It is the last answer.

Step-by-step explanation:

If you graph this, there will be no point more negative than (-4/3, -5).

This means the x and y values must be greater than or equal to these values, as the fourth answer will show.

8 0
3 years ago
Other questions:
  • Which expression is not requivalent to<br> 3x - 2?
    10·1 answer
  • Explain why this triangle is congruent.
    14·1 answer
  • 3. A fruit company ships boxes of apples and pears in a crate that measures
    15·1 answer
  • Find the exact value of cos 15°
    7·2 answers
  • 3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a
    10·1 answer
  • What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
    12·1 answer
  • Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 ho
    6·2 answers
  • Three less than four times a number is 5
    9·1 answer
  • Please help 5 rate pleaseeeeeee????//
    9·1 answer
  • What is a value of this​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!