Question 6290 – CHENNAI MATHEMATICAL INSTITUTE – M.Sc. / Ph.D. Programme in Computer Science ( 15 May 2014 )

For the inter-hostel six-a-side football tournament, a team of 6 players is to be chosen from 11 players consisting of 5 forwards, 4 defenders and 2 goalkeepers. The team must include at least 2 forwards, at least 2 defenders and at least 1 goalkeeper. Find the number of different ways in which the team can be chosen.

Correct Answer: A

5 positions are fixed. The 6th can be forward/defender/goalkeeper.