SOLUTION: MUST USE THE FORMULA FOR COMBINATIONS TO SOLVE THE FOLLOWING PROBLEM. MUST SHOW ALL WORK. The class president plans to randomly select a committee of 3 people from 25 students.

Algebra ->  Probability-and-statistics -> SOLUTION: MUST USE THE FORMULA FOR COMBINATIONS TO SOLVE THE FOLLOWING PROBLEM. MUST SHOW ALL WORK. The class president plans to randomly select a committee of 3 people from 25 students.       Log On


   



Question 34915: MUST USE THE FORMULA FOR COMBINATIONS TO SOLVE THE FOLLOWING PROBLEM. MUST SHOW ALL WORK.
The class president plans to randomly select a committee of 3 people from 25 students. How many committees are possible?
Thank you for taking the time to help me out! Please help me I have done over 40 of these and I am confused on a few.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The combination of n items taken r at a time is expressed by:
nCr+=+n%21%2Fr%21%28n-r%29%21
For 25 people taken 3 at a time:
25C3+=+25%21%2F3%21%2825-3%29%21=25%21%2F3%21%2822%29%21=2300