From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be in

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From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be included. Then the total number of ways such a selection can be made, is

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Correct answer: B. 155

7 Batsmen & 6 Bowlers To select 10 players including atleast 4 Batsmen & 4 Bowlers Captain & vice-captain already selected aligned & No. of ways = ^6 C ₅ ^5 C ₃+ ^6 C ₄ ^5 C ₄+ ^6 C ₃ ^5 C ₅ & =6 10+15 5+20 1 & =60+75+20=155 aligned

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