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12 November, 03:39

How many different batting orders are possible if 9 people are chosen from a group of 12 on a baseball team?

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  1. 12 November, 04:41
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    So we need to choose 9 people from the 12 persons.

    Here the order of arrangement of the 9 persons is relevant.

    So the answer is 12 Permutation 9 = ¹²P₉

    ¹²P₉ = (12!) / (12 - 9) !

    = (12!) / 3!

    = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3!) / 3!

    = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4

    = 79 833 600

    = 79 833 600 different orders
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