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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

Respuesta :

MrRoyal

Answer:

D. 3 Points

Step-by-step explanation:

Given

[tex]Members = 3[/tex]

[tex]Point = 9 - n[/tex]

[tex]1 \leq\ n \leq 8[/tex]

Required

Determine the least possible score

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

i.e.

[tex]Point = 9 - n[/tex]

[tex]Point = 9- 8[/tex]

[tex]Point = 1[/tex]

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

So:

[tex]Total = 3 * 1[/tex]

[tex]Total = 3[/tex]

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