Question

Evaluate C(7, 7).

a)0
b)1
b)7

Answer 1

The formula here is
\[C(n,m)=\frac{n!}{m!(n-m)!}.\]

Answer 2

i got 0 ?

Answer 3

\(0!\) is equal to \(1.\) (It's weird, I know.)

Answer 4

Wait so 0 or 1 ???

Answer 5

What do you think? (not being rude, I'm curious which you think.)

Answer 6

1

Answer 7

Correct. An interesting fact is \(C(k,k)=\frac{k!}{k!(k-k)!}=\frac{k!}{k!0!}=\frac{k!}{k!}=1\) for any \(k.\)