Answered

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Find the value of P (7, 2). HELP PLSSSS

Sagot :

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.

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