Question

An election ballot asks voters to select two city commissioners from a group of six candidates. In how many ways can this be done?

Answer 1

15 ways

Explanation:

There are 6 choices available for the first seat

There are 5 remaining choices for the second seat.

6(5) = 30 possible combinations

however, as the two seats are of equal power, the combination of AB is equal the the combination of BA etc, This eliminates half of the options.