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In How Many Ways Can a Football Team of 11 Players Be Selected from 16 Players? How Many of These Willinclude 2 Particular Players? - Mathematics

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In how many ways can a football team of 11 players be selected from 16 players? How many of these will

include 2 particular players?

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Solution

Number of ways in which 11 players can be selected out of 16 =\[{}^{16} C_{11} = \frac{16!}{11! 5!} = \frac{16 \times 15 \times 14 \times 13 \times 12}{5 \times 4 \times 3 \times 2 \times 1} = 4368\]

 

Concept: Combination
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 4.1 | Page 15

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