Answer
Number of ways to elect 3 out of six = $6_{{C}{_{3}}}$ = 20
Work Step by Step
Total number of candidates = 6
Number of candidates to be elected = 3
Number of ways to elect 3 out of six = $6_{{C}{_{3}}}$ = $\frac{6!}{(6 - 3)! .3!}$ = $\frac{6!}{3! .3!}$ = $\frac{6\times5\times4\times3!}{3! .3\times2\times1}$ = 20
