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.

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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) About Me  (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.
nCr
n%21%2F%28%28n-r%29%21%2Ar%21%29
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!
10%21%2F%28%2810-3%29%21%2A3%21%29
Simplify 10! with 7!, you will be left with 10%2A9%2A8
That equals 720
720%2F3%21
720%2F6
Answer:highlight%28120%29
Hope this helps!