MHT CET 2022 Mathematics question

There are 6 periods in each working day of a school. The number of ways one can arrange 5 subjects such that each is allowed at least one period, is

(A)3600Correct
(B)725
(C)720
(D)5

Answer: (A)

Solution

Five subjects must occupy 6 periods with every subject appearing at least once, so exactly one subject is taught twice. Textbook method: arrange the 5 subjects in 5 of the 6 periods in ways; the remaining period can be given to any one of the 5 subjects, in 5 ways. Total , option (A),

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Question ID VK-097201