In how many ways can a football team of 11 players be selected from 16

1.	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?
Answer» Total number of players = 16 We have to select a team of 11 players So, number of ways = ¹⁶C₁₁ (i) If two particular players are included then more 9 players can be selected from remaining 14 players in ¹⁴C₉ (ii) If two particular players are excluded then all 11 players can be selected from remaining 14 players in ¹⁴C₁₁

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?

Answer»

Total number of players = 16

We have to select a team of 11 players

So, number of ways = ¹⁶C₁₁

(i) If two particular players are included then more 9 players can be selected from remaining 14 players in ¹⁴C₉

(ii) If two particular players are excluded then all 11 players can be selected from remaining 14 players in ¹⁴C₁₁