Find the n if condition given nC5= 30 x nC3
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Answer:
n!/n-5!=30 n!/n-3!
1=30 1/(n-3)(n-4)
n^2 -7n+12=30
n^2 -7n-18=0
n^2 -2n+9n-18=0
n(n-2)+9(n-2)=0
n=2orn=-9 but -9 not possible
so n=2
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