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2015-03-04T23:01:38+05:30

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8*7*6*5 =  \frac{8*7*6*5*4*3*2*1}{4*3*2*1}
           =   \frac{8!}{4!}
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2015-03-04T23:38:23+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
To write in the form of factorial of a number n, you need to multiply the numbers from 1 to n.
So to write 8*7*6*5 as factorial, we have to multiply the numbers from 1 to 4 too. And we can keep the value unaltered by dividing it with the same numbers we multiply. Thus

8 \times 7 \times 6 \times 5\\ \\=8 \times 7 \times 6 \times 5 \times [ \frac{4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} ]\\ \\= \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \\ \\=\boxed{ \frac{8!}{4!} }
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