Question

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

Answer 1

I hope you have a good day

Answer 2

12,376

Explanation:

• The first candidates can be selected in 17 ways, the second in 16 ways, the third in 15 way, the fourth in 14 ways, the fifth in 13 ways and the last in 12 ways.
• so times 17 x 16 x 15 x 14x 13 x 12 = 8,910,720
• However, the order of the candidates does not matter and they can be selected in 6x 5 x4 x 3 x 2 x 1 = 720 ways
• now dived both answers 8,910,720÷720 = 12,376