SOLUTION: A commite of 5 students is to be selected from a group of 30 students. How many different committess are possible

Algebra ->  Test -> SOLUTION: A commite of 5 students is to be selected from a group of 30 students. How many different committess are possible      Log On


   

Question 1203829: A commite of 5 students is to be selected from a group of 30 students. How many different committess are possible
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

It the number of COMBINATIONS of 30 students taken 5 at at a time

    C%5B30%5D%5E5 = %2830%2A29%2A28%2A27%2A26%29%2F%281%2A2%2A3%2A4%2A5%29 = 142506.    ANSWER

Solved.

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

Since the order of students does not matter,  this problem is on  COMBINATIONS.

On  Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.