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JEE MATHEMATICS MCQ: PERMUTATIONS

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Understanding +4 | -1
The number of ways in which 10 candidates A1,A2,…A_1, A_2, \ldots, A10A_{10} can be ranked so that A1A_1 is always above A2A_2, is
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Correct option: B
10 ! 2\frac{10 \text { ! }}{2}
The correct answer is B (10 ! 2\frac{{10 \text { ! }}}{{2}}) because half of the total permutations will have A1A_1 above A2A_2, and the other half will have A2A_2 above A1A_1.

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