Question 106759
How many ways can a committee of 7 people be chosen from a group of 15 people.

This is actually a combination problem, not a permutation problem. Why, because the order of the selected people is not important.
Combination of 15 things taken 7 at a time is given by:
{{{C(15,7) = 15!/7!(15-7)! = 15!/7!(8!)}}} = 6,435 ways.