A university has three table tennis scholarships each worth $1000. How many ways are there to award these after they’ve narrowed the c

Question

A university has three table tennis scholarships each worth $1000. How many ways are there to award these after they’ve narrowed
the candidates to 6 ping pong players?
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Latifah 1 day 2021-07-22T21:26:43+00:00 1 Answers 4 views 0

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    2021-07-22T21:28:16+00:00

    Answer:

    1. In the presence of restrictions; A player cannot win more than one scholarship;

    The number of ways is 120 ways

    2. In the absence of restrictions; A player can win more than 1:

    The number of ways is 216 ways

    Step-by-step explanation:

    Here, to award the scholarships, the restrictions we might have is that a student cannot win more than 1 scholarship

    Given this restriction;

    The first scholarship has 6 possible contenders

    The second has 5

    The third has 4

    So, the number of possible ways is;

    6 * 5 * 4 = 120 ways

    In the absence of no restrictions where a student can win any number of scholarships;

    We have the 3 scholarships being awarded in 6 possible ways

    So the total number of ways will be;

    6 * 6 * 6 = 216 ways

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