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…

From a group of $\displaystyle 7$ batsmen and $\displaystyle 6$ bowlers, $\displaystyle 10$ players are to be chosen for a team, which should include atleast $\displaystyle 4$ batsmen and atleast $\displaystyle 4$ 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