Question

6 city commissioners 17 candidates how many ways can this be done

Answer 1

$\text {Number of ways} = \dfrac{17 \times 16 \times 15 \times 14 \times 13 \times 12}{1 \times 2 \times 3 \times 4 \times 5 \times 6}$

$\text {Number of ways} = \dfrac{8910720}{720}$

$\text {Number of ways} = 12376$