Let f: 1,2,3,4,5 1,2,3,4,5 that are onto and f(x) i is equal to

JEE Main Mathematics question

Let that are onto and is equal to

(A)
(B)Correct
(C)
(D)None of these

Answer: (B)

Solution

Read the condition as for each , and is onto, hence a bijection of a -element set. Such bijections with no fixed point are the derangements of objects:

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Question ID VK-020607