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Question Number 113849 by ShakaLaka last updated on 15/Sep/20

$$\mathrm{A}\mathrm{cricket}\mathrm{club}\mathrm{has}15\mathrm{members},\mathrm{of}\mathrm{whom}$$$$\mathrm{only}5\mathrm{can}\mathrm{bowl}.\mathrm{If}\mathrm{the}\mathrm{names}\mathrm{of}15$$$$\mathrm{members}\mathrm{are}\mathrm{put}\mathrm{into}\mathrm{a}\mathrm{box}\mathrm{and}11\mathrm{are}$$$$\mathrm{drawn}\mathrm{at}\mathrm{random},\mathrm{then}\mathrm{the}\mathrm{probability}$$$$\mathrm{of}\mathrm{obtaining}\mathrm{an}11\mathrm{containing}\mathrm{at}\mathrm{least}$$$$3\mathrm{bowlers}\mathrm{is}$$

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