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JEE Main 20211 SeptemberEvening Shift
Exam
JEE Main
Year
2021
Date
1 September
Shift
Evening Shift
Subject
Mathematics
Chapter
Binomial Theorem

JEE Main 2021 · 1 September · Evening Shift · Mathematics · Binomial Theorem

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

If the sum of the coefficients in the expansion of (x+y)n( x + y{)}^{n} is 4096,4096, then the greatest coefficient in the expansion is _____.

Correct answer

0

Step-by-step solution

Sum of coefficients of the expression (x+y)n( x + y{)}^{n} is 2n{2}^{n}

2n=4096=212{2}^{n} = 4096 = {2}^{12}

⇒n=12⇒ n = 12

Now greatest binomial coefficient of the expression(x+y)n( x + y{)}^{n} is the middle term's coefficient so C6n=C612=924C6 n = C6 12 = 924

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