Maharashtra State BoardHSC Science (General) 11th
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Select the correct answer from the given alternatives. The value 11C2 + 11C4 + 11C6 + 11C8 is equal to - Mathematics and Statistics

MCQ

Select the correct answer from the given alternatives.

The value 11C2 + 11C4 + 11C6 + 11C8 is equal to

Options

  • 210 − 1

  • 210 − 11

  • 210 + 12

  • 210 − 12 

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Solution

210 – 12

Explanation;

11C0 + 11C2 + ... + 11C8 + 11C10 = 211–1 = 210

11C2 + 11C4 + 11C6 + 11C8

= 210 – (11C0 + 11C10)

= 210 – (1 + 11)

= 210 – 12

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. (7) | Page 85
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