English

The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.

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Question

The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.

Options

  • 16C11 

  • 16C5 

  • 16C9 

  • 20C9 

MCQ
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Solution

The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is 16C9 .

Explanation:

Total number of players = 22

2 players are always included and 4 are always excluding

Or never included = 22 – 2 – 4 = 16

∴ Required number of selection = 16C9 

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Chapter 7: Permutations and Combinations - Exercise [Page 125]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 7 Permutations and Combinations
Exercise | Q 35 | Page 125

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