JEE MAIN - Mathematics (2023 - 30th January Evening Shift - No. 15)

The number of seven digits odd numbers, that can be formed using all the

seven digits 1, 2, 2, 2, 3, 3, 5 is ____________.
Answer
240

Explanation

$$.......1 \to {{6!} \over {2!3!}} = 60$$

$$.......3 \to {{6!} \over {3!}} = 120$$

$$.......5 \to {{6!} \over {3!2!}} = 60$$

Total = 240

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