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

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

exclude 2 particular players?

Solution

If 2 particular players are excluded, it would mean that out of 14 players, 11 players are selected.  Required number of ways =${}^{14} C_{11} = \frac{14!}{11! 3!} = \frac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364$

Concept: Combination
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 4.2 | Page 15