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BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Mathematics
Chapter
Binomial Theorem

BITSAT 2022 · Mathematics · Binomial Theorem

If the sum of the coefficients in the expansion of (x+y)^n is 1024...

If the sum of the coefficients in the expansion of (x+y)n(x+y)^n is 1024 , then the value of the greatest coefficient in the expansion is

Options

  1. A356356
  2. B252252
  3. C210210
  4. D120120

Correct answer

B. 252252

Step-by-step solution

Given, sum of the coefficient =1024=1024 i.e. 2n=1024=210⇒n=10\begin{array}{ll}\text{ i.e. } & 2^n=1024=2^{10} \\ \Rightarrow & n=10\end{array}$Since,Since, niseven,sogreatestcoefficientis even, so greatest coefficient={ }^n C_{n / 2}={ }^{10} C_5=252$
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