In: Statistics and Probability
A fishing camp has 17 clients. Each cabin at the camp will accommodate 7 fishermen. In how many different ways can the first cabin be filled to capacity with clients?
Answer =
n C x = n! / x!(n - x)!
n! = n(n - 1)(n - 2) .... and so on .
n = 17 and x = 7
17 C 7 = 17! / 7!(17 - 7)! = 17! / 7!(10)! = 19448
Answer = 19448