If^ {2n}C_3 : ^nC_2 = 12 : 1, then the value of n is

BPSC 56th-59th Exam Prelims 15 Mar 2015 Solved Paper

Question : 122 of 150

Marks: +1, -0

^ {2n}C_3 : ^nC_2 = 12 : 1,

then the value of n is

Solution:

From the question

\;{{ }^{2 n} {C}_{3}}/{{ }^{n} {C}_{2}}=\;{12}/{1}

⇒ \;{4(n-1)}/{3}=12

⇒ 2 n=10

n=5

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