in how many ways a cricket team of 11 be selected from 17 players in which 5 players are bowlers and the cricket team must include at least 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)P=C(5,4)×C(12,7)
=5!4!(5−4)!×12!7!(12−7)!=5!4!(5−4)!×12!7!(12−7)!
=5×4!1!4!×12×11×10×9×8×7!7!5!=5×4!1!4!×12×11×10×9×8×7!7!5!
=51×12×11×10×9×85×4×3×2×1=51×12×11×10×9×85×4×3×2×1
=3960=3960
Hence (B) is the correct answer
P=C(5,4)×C(12,7)P=C(5,4)×C(12,7)
=5!4!(5−4)!×12!7!(12−7)!=5!4!(5−4)!×12!7!(12−7)!
=5×4!1!4!×12×11×10×9×8×7!7!5!=5×4!1!4!×12×11×10×9×8×7!7!5!
=51×12×11×10×9×85×4×3×2×1=51×12×11×10×9×85×4×3×2×1
=3960=3960
Hence (B) is the correct answer
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