Question

Given the expression 12C7, which of the following scenarios could this combination represent?

A.
selecting 5 out of 23 students to give a presentation during class today
B.
selecting 7 out of 12 students to compete at an art fair
C.
the order in which the first 7 runners of a race finish
D.
arranging 7 students in 12 chairs

Answer 1

Answer: B

Explanation:

₁₂C₇ is read as "12 choose 7" which means you are choosing 7 out of 12. Since it is a combination and not a permutation, order does not matter.