Question

Which of the following is equivalent to C(16, 4)?

A.12!
B.C(16, 12)
C.C(15, 3

Answer 1

The number of combinations of n objects taken r at a time is determined by the following formula:

`C(n,r)=(n!)/(r!(n-r)!)`.
Consider


`C(16,4)= (16!)/(4!(16-4)!)= (16!)/(4!12!) = (16!)/(12!(16-12)!) =C(16,12)`.
Answer: Correct choice is B.