Permutation and Combination: The number of numbers, strictly between 5000 and 10000 can be formed… | JEE Main 2023 | Yukti Vault

Yukti Vault

JEE Main 2023 (Online) 25th January Evening ShiftQuestion 1

The number of numbers, strictly between $5000$ and $10000$ can be formed using the digits $1,3,5,7,9$ without repetition, is :

Permutation and Combination

$6$$12$$120$$72$✓ Correct answer

Solution

Only $4$-digit numbers fit, and the first digit must be $5,7$ or $9$: $3\cdot4\cdot3\cdot2=72$.

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