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Question
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 =\[{}^{14} C_{11} = \frac{14!}{11! 3!} = \frac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364\]
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