class 12 maths relations and functions

If the set $A$ contains 5 elements and the set $B$ contains 6 elements, then the number of one-one and onto mappings from $A$ to $B$ is

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📘 Relations and Functions NCERT Exemp.Q.35,Page 14 MCQ 1 mark

If the set $A$ contains 5 elements and the set $B$ contains 6 elements, then the number of one-one and onto mappings from $A$ to $B$ is

Official Solution

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As we know that , if $A$ and $B$ are two non-empty finite sets containing $p$ and $q$ elements respectively, then the number of

one-one and onto mapping from $A$ to $B$ is
$q!$ if $p = q$

0 , if $p \ne q$

It is given that,, $p = 5$ and $q = 6$
$\therefore$
$p \ne q$
Number of mapping $= 0$

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