In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
Number of players = 17 (5 bowlers + 12 others)
Number of players to be selected = 11 (4 bowlers + 7 others)
Number of selections for 4 bowlers out of 5 = ...(i)
Number of selections for the remaining 7 players out of 12
=
= ...(ii)
Hence, from (i) and (ii), by fundamental principle of counting, the number of ways in which the team can be selected = 5 x 792 = 3960