Question

Consider a squad of 15 players consisting of 7 batsman, 6 bowler, 1 captain and 1 vice captain. A team of 10 players to be selected such that team has at least 4 batsman and 4 bowler and out of captain and vice captain atleast 1 must be present in the team. Then number of ways to select such team is 

(1) 1475 

(2) 1575 

(3) 1075 

(4) 1500

Answer 1

Correct option is: (2) 1575  

= 35.15 + 35 × 12 + 21.15 × 2

= 525 + 420 + 630 = 1575