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If $\frac{1}{^{4} C_{n}} = \frac{1}{^{5} C_{n}} + \frac{1}{^{6} C_{n}}$ , then value of $n$ is

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Correct option is D

5Cn 4Cn=1+ 5Cn 6Cn⇒55−n=1+6−n6⇒n2−17n+30=0⇒n=2.

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If 1 4Cn=1 5Cn+1 6Cn, then value of n is

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If $\frac{1}{^{4} C_{n}} = \frac{1}{^{5} C_{n}} + \frac{1}{^{6} C_{n}}$ , then value of $n$ is