Mathematics · JEE | RELATIONS AND FUNCTIONS
हिन्दीIf \( X \) and \( Y \) have \( m \) and \( n \) elements with \( m \le n \), then the total number of one-one functions from \( X \) to \( Y \) is:
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Correct answer · Option D
\( \frac{n!}{(n-m)!} \)
Explanation
The first element has \( n \) choices, the second has \( n-1 \), and so on, yielding \( n(n-1)\dots(n-m+1) = \frac{n!}{(n-m)!} \).