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7 January, 07:17

Suppose you have a group of 8 male and 4 female volunteers. how many ways are there to choose 6 of these volunteers for a treatment group?

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  1. 7 January, 08:32
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    Since volunteers can be of any sexe (no precision given in your problem), then we can consider the question as how many group of 6 we can make with 12 persons:

    It's a combination of 6 chosen among 12

    ¹²C₆ = (12!) / (6!). (12-6!)

    ²C₆ = (12!) / (6!). (6!)

    ¹²C ₆ = 924 Ways
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