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Find the least value of n for which \(^{3n}C_{2} > 0, n \...

Find the least value of n for which 3nC2>0,nR

A.

13

B.

16

C.

23

D.

1

Correct answer is C

3nC2>03n!(3n2)!2!>0

3n(3n1)(3n2)!(3n2)!2>0

3n(3n1)2>0

3n(3n1)>0n>0;n>13

The least number in the option that satisfies n>0;n>13=23