Team Award

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At least of the 50 players on a sports team must receive an award individually from the state in order for the team as a whole to receive an award from the state. What is the greatest number of team members that could fail to receive an award individually from the state, if the team as a whole receives an award from the state?

Review: Team Award


Explanation

At least members of these 50 team members need to win an award, so the number who win an award must be at least .

These people and their awards come only in whole numbers, so that means that 38 people must win, since and would fail to meet the condition. Since at least 38 of 50 must get the award, at most 12 of 50 don't get the award.

The correct answer is (D).


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