SOLUTION: The executive committee of the student government consists of 10 members. In how many ways can a subcommittee of 3 members be chosen? Thank you for your help.

Algebra.Com
Question 37691: The executive committee of the student government consists of 10 members. In how many ways can a subcommittee of 3 members be chosen? Thank you for your help.
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
To do this problem you need Combinations and Permutations.
You know for permutations, the order of the object matter. In this case, the order doesn't matter, so we will be using combinations.


n equals the number of choices. In this case, you have 10.
r equals the number of decisions yo make. In this case, you have 3.
Plug your numbers in!

Simplify 10! with 7!, you will be left with
That equals 720


Answer:
Hope this helps!

RELATED QUESTIONS

The executive committee of the student government consists of 10 members. In how many... (answered by stanbon)
A subcommittee of 5 representatives is to be selected from 10 men and 12 women members of (answered by ewatrrr)
In how many ways can a subcommittee of five be chosen from a Senate committee of six... (answered by ewatrrr)
in how many ways can a subcommittee of four be chosen from a Senate committee of five... (answered by Boreal)
A certain congressional committee consists of 12 senators and 14 representatives. How... (answered by jorel1380,greenestamps,MathTherapy)
A certain congressional committee consists of 9 senators and 11 representatives. How... (answered by Boreal)
A school committee consists of five women and three men. In how many ways can a... (answered by ewatrrr)
5 couples attend a play and are seated in a row of 10 chairs. How many different... (answered by ewatrrr)
The United States Senate Committee on Commerce, Science, and Transportation consists of... (answered by ikleyn)