Question

For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?

A) 0

B) 1

C) 2

D) 3

E) 4

Answer 1

D. 3 Points

Explanation:

Given

`Members = 3`

`Point = 9 - n`

`1 \leq\ n \leq 8`

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

`Point = 9 - n`

`Point = 9- 8`

`Point = 1`

To get the least score, each of the 3 members must have 1 point each.

So:

`Total = 3 * 1`

`Total = 3`