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:
