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Mathematics · 2023

JEE Main · 10 April 2023, Shift 1 · Q23

The number of permutations, of the digits 1,2,3, …, 7 without repetition, which neither contain the string 153 nor the string 2467, is ____.

The number of permutations, of the digits $\displaystyle 1,2,3, \ldots, 7$ without repetition, which neither contain the string $\displaystyle 153$ nor the string $\displaystyle 2467$ , is $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.