Question

in how many ways can we select a cricket eleven from 17 players in which 5 players can bowl.each team must include exactly 2 bowlers.

Answer 1

Hey Dear...

Here is Your Answer :D

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=> Four bowlers can be selected from the five players and seven players can be selected from 12 players (17-5)=12 is the number of ways of selecting the cricket eleven, then

P=C(5,4)×C(12,7)


=5! / 4!(5−4)! ×12! / 7!(12−7)! 

 =5×4! / 1!4! × 12 ×11×10×9×8×7! / 7!5!

=5 / 1 ×12×11×10×9×8 / 5×4×3×2×1

=3960 (Answer)

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Hope it helps you out :D
Thanks... (^^)