From a group of 7 batsmen and 6 bowlers, 10 players are to be cho… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 1Applications of P&C

From a group of $7$ batsmen and $6$ bowlers, $10$ players are to be chosen for a team, which should include at least $4$ batsmen and at least $4$ bowlers. One batsman 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:

A
$165$
B
$155$
C
$145$
D
$135$

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