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Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?

AThe value of the binomial coefficient nC0 is n – 1 for all values of n.
BThe values of nC1 and nCn–1 are equal to 1.
CThe values of nC0 and nCn are equal to 1.
DThe value of the binomial coefficient nC1 is n – 1 for all values of n.

Verified Answer :

LammettHash

C is the correct choice.

\({}_nC_0=\dfrac{n!}{0!(n-0)!}=\dfrac{n!}{n!}=1\)
\({}_nC_n=\dfrac{n!}{n!(n-n)!}=\dfrac1{0!}=1\)

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