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.
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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)
___________________________________
Hope it helps you out :D
Thanks... (^^)
Here is Your Answer :D
_________________________
=> 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)
___________________________________
Hope it helps you out :D
Thanks... (^^)
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