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The largest coefficient in the expansion of (1 + x)30 is ______. - Mathematics

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Question

The largest coefficient in the expansion of (1 + x)30 is ______.

Fill in the Blanks

Solution

The largest coefficient in the expansion of (1 + x)30 is 30C15.

Explanation:

Here n = 30 which is even

∴ The largest coefficient in (1 + x)n = `""^n"C"_(n /2)`

So, the largest coefficient in (1 + x)30 = 30C15

Hence, the value of the filler is 30C15.

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Proof of Binomial Therom by Combination
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Chapter 8: Binomial Theorem - Exercise [Page 145]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 8 Binomial Theorem
Exercise | Q 25 | Page 145
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