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14 January, 06:05

There are 5 persons and at a time only 3 can be arranged. What is the total number of arrangements?

a. 80

b. 240

c. 60

d. 120

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Answers (1)
  1. 14 January, 09:33
    0
    If there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

    Option C is correct

    Step-by-step explanation:

    There are 5 persons and at a time only 3 can be arranged.

    The total number of arrangements = nPr = n! / (n-r) !

    Here n = 5 and r = 3

    nPr = n! / (n-r) !

    nPr = 5! (5-3) !

    nPr = 5!/2!

    nPr = 5*4*3*2!/2!

    nPr = 5*4*3

    nPr = 60

    So, if there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

    Option C is correct.
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