passpadi

2006

Mathematics

67ca00ce0c643c71d77dee1f

For what of n is n+1 C3 = 4( nC3)?

A.

6

B.

5

C.

4

D.

3

Correct Answer: 3

Explanation

n+1C3 n C3)frac(n+1)!(n+1-3)!3!=4(n!/((n-3)!3!))frac(n+1)n!(n-2)(n-3)!=4(n!/(n-3!))"\=" (n+1)/(n-2)=4/1 "\n"+1=4(n-2)"\n"+1=4n-8"\-" 3n=-9frac-9-3"\n"=3

n+1C3 n C3)frac(n+1)!(n+1-3)!3!=4(n!/((n-3)!3!))frac(n+1)n!(n-2)(n-3)!=4(n!/(n-3!))"\=" (n+1)/(n-2)=4/1 "\n"+1=4(n-2)"\n"+1=4n-8"\-" 3n=-9frac-9-3"\n"=3
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