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Given:
[tex]P(7,2)[/tex]
To find:
The value of the given permutation.
Solution:
Permutation is defined as:
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
We have,
[tex]P(7,2)[/tex]
Using permutation formula, we get
[tex]P(7,2)=\dfrac{7!}{(7-2)!}[/tex]
[tex]P(7,2)=\dfrac{7\times 6\times 5!}{5!}[/tex]
[tex]P(7,2)=7\times 6[/tex]
[tex]P(7,2)=42[/tex]
Therefore, the value of P(7,2) is 42.