JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

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Analyzing +4 | -1

Let

f:\left\{ {1,\;2,\;3,\;4,\;5} \right\} \to \left\{ {1,\;2,\;3,\;4,\;4,\;5} \right\}

that are onto and

f\left( x \right) \ne i

is equal to

View answer and explanation

Correct option: B

Option B (44) is correct because the number of onto functions with the given condition is equivalent to the number of derangements of 5 objects, which is 44.

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