The number of ways in which a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 of them are always to be excluded, is

Step-by-step solution

Given 25 players, with 6 players always included and 5 players always excluded, to form an 11-player team, we first exclude the 5 players who cannot participate and note that 6 players are fixed. The remaining 5 positions must be chosen from the effective pool of 25 - 6 - 5 = 14 players. The selection is a combination: 14 5 = 14 13 12 11 10 5 4 3 2 1 = 2002 . Final answer: 2002 .