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13 July, 00:31

There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that receive the highest number of votes become candidates for a runoff election. How many 3-candidate combinations are possible?

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  1. 13 July, 03:03
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    56

    Step-by-step explanation:

    Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.

    The three candidates that receive the highest number of votes become candidates for a runoff election.

    i. e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.

    Since order does not matter we use combinations here

    3 persons out of 8 can be done in 8C3 ways

    = 56

    no of 3-candidate combinations possible are 56
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