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

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प्रश्न

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

योग

उत्तर

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.

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Binomial Coefficients
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Methods of Induction and Binomial Theorem - Exercise 4.5 [पृष्ठ ८४]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 4 Methods of Induction and Binomial Theorem
Exercise 4.5 | Q 3 | पृष्ठ ८४
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