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In how many ways can a football team of 11 players be selected from 16 players? How many of them will
(i) include 2 particular players?
(ii) exclude 2 particular players?
(i) include 2 particular players?
(ii) exclude 2 particular players?
Solution:
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Verified Answer
Total number of players $=16$
We have to select a team of 11 players
(i) Number of ways if 2 particular players are included $={ }^{16-2} C_{11-2}={ }^{14} C_9$
(ii) Number of ways if 2 particular players are excluded $=16-{ }^2 C_{11}={ }^{14} C_{11}$
We have to select a team of 11 players
(i) Number of ways if 2 particular players are included $={ }^{16-2} C_{11-2}={ }^{14} C_9$
(ii) Number of ways if 2 particular players are excluded $=16-{ }^2 C_{11}={ }^{14} C_{11}$
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