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Miscellaneous·2018·Easy

For a sports meet, a winners' stand comprising three wooden blocks is in the following form : There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how many different ways can the winners' stand be painted?

For a sports meet, a winners' stand comprising three wooden blocks is in the following form : There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how many different ways can the winners' stand be painted?

Options

  1. a.

    120

    Correct answer
  2. b.

    81

  3. c.

    66

  4. d.

    36

Explanation

The Stand can be painted in 6 × 5 × 4 = 120 ways in which no color will be clashing.

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