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What is the coefficient of middle term of \left ( x+y \right )^{49}?

Option: 1

\binom{49}{25}


Option: 2

\binom{49}{24}


Option: 3

\binom{49}{24.5}


Option: 4

Both (A) and (B)


Answers (1)

best_answer

As we learnt

 

Middle term in Binomial Expression if n is odd -

 

If n is odd then

^{n}c_{\frac{n-1}{2}}\cdot x^{\frac{n+1}{2}}\cdot a^{\frac{n-1}{2}} and

^{n}c_{\frac{n+1}{2}}\cdot x^{\frac{n-1}{2}}\cdot a^{\frac{n+1}{2}}

- wherein

Two terms are middle terms and their binomial coefficients are equal.

 

 In  \left ( x+y \right )^{49}, the middle term's coefficient is given by \binom{49}{24}\: \: and\: \: \binom{49}{25}

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