Maharashtra State BoardHSC Science (Electronics) 11th
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Select the correct answer from the given alternatives. The value 14C1 + 14C3 + 14C5 + ..... + 14C11 is - Mathematics and Statistics

MCQ

Select the correct answer from the given alternatives.

The value 14C1 + 14C3 + 14C5 + ..... + 14C11 is

Options

  • 214 − 1

  • 214 − 14

  • 212 

  • 213 − 14 

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Solution

213 − 14

Explanation;

[Hint : 14C1 + 14C3 + 14C5 + ... + 14C11 + 14C13 = 214–1 = 213 

14C1 + 14C3 + 14C5 + ... + 14C11 = 21314C13 = 213 – 14.]

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
Miscellaneous Exercise 4 | Q I. (6) | Page 85
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