Question

4) a group of five people line up for a photo. there are two adults and three kids in the group. how many ways are there to line up the people if an adult must be on each end of the line up? a. 12 b. 24 c. 48 d. 120

Answer 1

a) 12

Explanation:

we visualize it a bit. we have to have something on this form:

Adult Kid Kid Kid Adult.

now, we find the number of ways to arrange adults and kids respectively.

adults - 2×1 = 2 ways

kids - 3×2×1 = 6 ways

total: 2×6 = 12 ways