Question

Which of the following has the same value as C(10, 3)? O P(10, 3) O C(10,7) O C(9,6)

Answer 1

Answer:  C(10,7)

Reason:

We can numerically compute both C(10, 3) and C(10, 7) and we would get 120 for each result.

Use the nCr combination formula

$nCr = \frac{n!}{r!(n-r)!}$

In general we have the rule C(n, r) = C(n, n-r)