Math, asked by khimanisahil1, 10 months ago

obtain the values of the following 1) 10p3​

Answers

Answered by MrPoizon
7

Answer:

\huge{\mathcal{\red{ITZ SWAGAT}}}

Attachments:
Answered by Swarup1998
3

The value of {}^{10}P_{3} is 720.

Concept that we must know:

Before we find the value of {}^{10}P_{3}, let us know that value of {}^{n}P_{r} first:

\quad \boxed{{}^{n}P_{r}=\dfrac{n!}{(n-r)!}}

Step-by-step explanation:

Now, {}^{10}P_{3}

=\dfrac{10!}{(10-3)!}

  • since n=10,r=3

=\dfrac{10!}{7!}

=\dfrac{10\times 9\times 8\times 7!}{7!}

  • here we have used the expansion for factorial n, that is
  • n!=(n-1)(n-2)(n-3)...(n-r)...1

=10\times 9\times 8

=\bold{720}

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