In how many ways can a football team of 11 players be selected from 16 players? How many of these will i. include 2 particular players? Ii. exclude 2 particular players?

Explanation

Total number of players = 16
We have to select a team of 11 players
(i) include 2 particular players `= ""^(16 - 2)C_(11 - 2) = ""^(14)C_(9)`
[since, selection of n objects taken r at a time in which p objects are always included is `""^(n - p)C_(r - p)`]
(ii) Exclude 2 particular players `= ""^(16 - 2)C_(11) = ""^(14)C_(11)`
[since, selection of n objects taken r at a time in which p objects are never included is `""^(n-p)C_(r)`]