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Show That C1 + C2 + C3 + .... C7 = 127 - Mathematics and Statistics

Sum

Show That C1 + C2 + C3 + .... C7 = 127

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Solution

We know that,

C0 + C1 + C2 + ... + Cn = 2n

Put n = 7, we get,

C0 + C1 + C2 + ... + C7 = 27 = 128  

∴ 1 + C1 + C2 + ... + C7 = 128      ...[∵ nC0 = 1]

∴ C1 + C2 + C3 + ... + C7 = 127.

Concept: Binomial Coefficients
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Methods of Induction and Binomial Theorem
Exercise 4.5 | Q 3 | Page 84
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