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Mathematics · JEE | PERMUTATIONS AND COMBINATIONS
हिन्दीFind the number of 4-digit numbers greater than \( 5000 \) that can be formed using the digits \( 3, 5, 6, 7, 8 \) without repetition.
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Correct answer · Option D
\( 96 \)
Explanation
The thousand's place must be filled by \( 5, 6, 7, \text{ or } 8 \) (4 choices). The remaining 3 places can be filled by the remaining 4 digits in \( {}^{4}P_3 = 24 \) ways. Total numbers = \( 4 \times 24 = 96 \).
