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Question

If n= mC2, then the value of nC2 is given by

A
m+1C4
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B
m1C4
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C
m+2C4
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D
None of these
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Solution

The correct option is D None of these
given:n=mC2=m!2!×(m2)!=m(m1)(m2)!2×(m2)!=m(m1)2Thus,nC2=a!2!×(a2)!=a(a1)(a2)!2×(a2)!=a(a1)2=(m(m1)2)(m(m1)21)2=m(m1)(m2m2)8
Hence,
option D Iis correct answer.

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