k6starisJ3ahr k6starisJ3ahr

24-12-2016
Mathematics

Answered

What is the value of 10C3?

A.

30

B.

120

C.

720

D.

1000

Verified Answer :

JcAlmighty JcAlmighty

25-12-2016

The answer is B. 120

nCr = n! / ((r! (n - r)!)

n = 10
r = 3

10C3 = 10! / ((3! (10 - 3)!)
= 10! / ((3! 7!)
= (10 9 8 7 6 5 4 3 2 1) / (3 2 1 7 6 5 4 3 2 * 1)
= 3628800 / 30240
= 120

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