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Find the number of injections of a set A...

Find the number of injections of a set A with 5 elements to a set B with 7 elements.

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If a set A has m elements and the set B has n elements `(m le n).` then the number of injections from A into `B=""^(n)P_(m)`
`therefore` The number of injections from set A with 5 elements into set B with 7 elements.
`=""^(7)P_(5)=2,520.`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
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  2. If ""^(n)P(7)=42. ""^(n)P(5). find n.

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  3. If ""^((n+1))P(5): ""^(n)P(6)=2:7, find

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  4. If ""^(12)P(5)+5. ""^(12)P(4)=""^(13)P(r), find r.

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  5. If ""^(18)P((r-1)):""^(17)P((r-1))=9:7, find r.

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