A cricket team of 11 players is to be chosen from 21 players consisting of 10 batsmen, 9 bowlers and 2 wicketkeepers. The team must include at least 5 batsmen, at least 4 bowlers and at least 1 wicketkeeper.
a) Find the number of different ways in which the team can be chosen.
Each player in the team is given a present. The presents consist of 5 identical pens, 4 identical diaries and 2 identical notebooks.
b) Find the number of different arrangements of the presents if they are all displayed in a row.
c) 10 of these 11 presents are chosen and arranged in a row. Find the number of different arrangements that are possible.
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