मराठी

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

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प्रश्न

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

रिकाम्या जागा भरा

उत्तर

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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पाठ 8: Binomial Theorem - Exercise [पृष्ठ १४५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 8 Binomial Theorem
Exercise | Q 25 | पृष्ठ १४५
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