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8 March, 02:53

1. For each of the following, show the substitution in the permutation formula, and find the answer.

a. 4P4

b. 10P2

c. 5P1

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Answers (1)
  1. 8 March, 04:17
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    a. 4P4 = 24

    b. 10P2 = 90

    c. 5P1 = 5

    Step-by-step explanation:

    permutation is the act of arranging the members of a set into a sequence or order (in permutation order is important)

    Given a permutation nPr

    nPr = n! / (n-r) !

    Substituting for each of the cases below we have;

    a) 4P4 = 4! / (4-4) ! = 4! = 24

    b) 10P2 = 10! / (10-2) ! = 10!/8! = 10*9 = 90

    c) 5P1 = 5! / (5-1) ! = 5!/4! = 5
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