Question

Eight students are running for three positions in

the student council: president, vice president,
and secretary. Which represents the total
number of ways that three students can be
selected if each student can be elected to only
one position?

Answer 1

1320

Explanation:

Answer 2

Explanation:

Total number of outcome are

1320

.

Explanation:

It is apparent that there are

12

ways in which the post of President can be filled. Once President's post is filled, there are

11

ways to fill the post of Vice President and then

10

ways to fill the post of Secretary,

Hence a total of

12

⋅

11

⋅

10

or

1320

ways or outcomes.