MHT CET 2022 Mathematics question

Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the respective right envelopes is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The five letters can be placed in the five envelopes in ways. Exactly one arrangement puts every letter in its right envelope, so . The required event is the complement, "not all the letters are dispatched in their respective right envelopes":

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Question ID VK-093894