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18 March, 08:23

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 21 members on the board of directors?

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  1. 18 March, 10:35
    0
    Answer:7980 ways

    Step-by-step explanation:

    When select predident:21 ways

    When select secretary: 20 ways

    When select treasurer: 19 ways

    It is permutation

    N permutation r=NPR

    20permutation3=21*20*19 = 7980 ways
  2. 18 March, 11:58
    0
    7980 ways

    Step-by-step explanation:

    Pretty simple.

    we are finding variation.

    Variation = N factorial / (N-P) factorial/

    N = the total number of elements we have available

    P = the number of elements out of n we need to select

    N = 21

    P = 3

    Variation = 21 factorial / (21-3) factorial = 21 factorial / 18 factorial

    Variation = 21x20x19x 18factorial / 18 factorial

    Variation = 21x20x19 = 7980 possible ways of selecting 3 positions out of a board of 21 members.

    is it clear?
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