NDA 2017 Maths · Mathematics · Binomial Theorem · easy

In the expansion of (1+x)^10, consider the statements. 1. The greatest binomial coefficient is 252. 2. The number of terms is 10.

Single correct option

In the expansion of

(1+x)^{10}

, consider the statements.

1. The greatest binomial coefficient is 252.
2. The number of terms is 10.

Which of the statements is/are correct?

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Answer: (A) 1 only

For

n=10

(even) the greatest coefficient is the middle one,

\binom{10}{5}=252

, so statement 1 is true. The expansion of

(1+x)^n

has

n+1=11

terms, so statement 2 is false. Only statement 1 is correct.

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