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The Board of directories has 13 members. How many ways are there to elect a Chair and a Vice-Chair if the bylaw has a rotation rule: Chair and Vice-Chair cannot keep their positions for two years in a row

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The number of ways to elect a Chair and a Vice Chair is 156.

Amount calculation

Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:

  • 13 x 12 = X
  • 156 = X

As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.

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