Question

Evaluate C(7, 7).

A: 0
B: 1
C: 7

If you can, could you please explain how you got your answer. These problems honestly don't make any sense to me and I'm turning towards here as a last resort. Thanks in advance.

Answer 1

Answer = 1

Explanation:

Answer 2

If you're seeing these problems as part of your study of statistics, you should know that
C(n, k) = n!/(k!×(n-k)!)
where the "!" indicates the factorial, the product of all positive integers less than or equal to the given one.

Then C(7, 7) = 7!/(7!×0!) = 1/0!
You are supposed to know also that 0! ≡ 1, so C(7, 7) = 1.

This is the number of ways you can choose 7 objects from a pool of 7 objects without regard to order. (You can do it one (1) way: choose all of them.)

The appropriate choice is ...
B: 1