Multiple Choice Questions on If 2nC3 nC2 44 3 then the value of n is ........ for Bihar civil service (BPSC) Preparation

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Multiple Choice Questions

If 2nC3 nC2 44 3 then the value of n is ........

Quantitative Aptitude (CSC) Number System
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    If 2nC3 : nC2 = 44 : 3 , then the value of n is 

    1 

    Incorrect Answer

    6 

    Correct Answer

    11 

    Incorrect Answer

    4

    Incorrect Answer

    None of the above/More than one of the above

    Incorrect Answer
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    Explanation:

    6.

    Given, 2nC3:nC2=44:3

    ⇒2n!/3!(2n−3)! : n!/2!(n−2)! = 44:3

    ⇒2n!(n−2)!/3(2n−3)!n! = 44/3

    ⇒2n.(2n−1).(2n−2)/n.(n−1) = 44

    ⇒4(2n−1)=4×(2×6−1)⇒n=6

    By: Parvesh Mehta
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