evaluate the expression as a fraction

Question

Evaluate the expression.

C(8, 6) · C(5, 3)

C(11, 7)

Answer 1

By C(n,r), I think you mean _nC_r = n! / (r! (n-r)!)

So, C(8,6) = 8! / (6! 2!) = 28 C(5, 3) = 5! / (3! 2!) = 10

We have 280 / C(11,7)

Evaluate C(11,7) and simplify.