Verified Solution • 2025–26 Session moderate

QJEEM21Ma1ca9: JEE Main 2021 Mathematics - Class 11 JEEM21Ma1ca9 Solution: There are 15 players in a cricket team, out of which 6 are…

There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsman and 2 are wicketkeepers. The number of ways, a team of 11 players be selected from them so as to include at least 4 bowlers, 5 batsman and 1 wicketkeeper, is ______________.

Step-by-Step Verified Solution

15 : Players

6 : Bowlers

7 : Batsman

2 : Wicket keepers

Total number of ways for :

at least 4 bowler, 5 batsman & 1 wicket keeper

= 6C4(7C6×2C1+7C5×2C2)+6C5×7C5×2C1

=777

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