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Permutation and Combination - JEE Mathematics question (JEE Main 2023 (Online) 30th January Evening Shift)

JEE Main 2023 (Online) 30th January Evening ShiftQuestion 1
The number of seven digits odd numbers, that can be formed using all the seven digits $1,2,2,2,3,3,5$ is
Permutation and Combination

Answer$240$

Solution

Last digit $1$: $\frac{6!}{3!2!}=60$; last digit $3$: $\frac{6!}{3!}=120$; last digit $5$: $\frac{6!}{3!2!}=60$. Total $240$.

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