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In How Many Ways 3 Letters Can Be Posted in 4 Letters Boxes If All the Letters Are Not Posted in the Same Letter Box? - Mathematics

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MCQ

In how many ways 3 letters can be posted in 4 letters boxes if all the letters are not posted in the same letter box?

Options

  • 63

  • 60

  • 77

  • 81

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Solution

60
Explanation:
The number of ways in which three letters can be posted in 4 letters boxes = 43 = 64 but it includes the 4 ways in which all letters may be posted in the same box.
Hence, required number of ways = 64 - 4 = 60

Concept: Permutation and Combination (Entrance Exam)
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