Question

Evaluate C(n, n).

0
1
n

Answer 1

C(n,n)=1

Explanation:

C(n,n) means we have to find the combination when n objects are to be selected from n objects.

Formula for C(n,r) is

`(factorial\ n)/(factorial\ r* factorial\ (n-r))`

Here, r=n

C(n,n) is equal to

`(factorial\ n)/(factorial\ n* factorial\ (n-n))`

`(factorial\ n)/(factorial\ n* factorial\ (0))`

since, factorial 0=1

Hence, C(n,n)=1