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Question Number 49034 by Tinkutara last updated on 01/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 02/Dec/18 $${first}\:{man}\:{may}\:{get}\:{Rs}\:\mathrm{4}\:{or}\:\mathrm{8}\:{or}\mathrm{12}…\mathrm{4}{n}−\mathrm{4} \\ $$$$\left[\mathrm{4}+\left({y}−\mathrm{1}\right)\mathrm{4}=\mathrm{4}{n}−\mathrm{4}\right] \\ $$$$\left[\mathrm{4}+\mathrm{4}{y}−\mathrm{4}=\mathrm{4}{n}−\mathrm{4}\:\:\:\:{y}={n}−\mathrm{1}\:{ways}\right] \\ $$$${similarly}\:{second}\:{man}\:\left({n}−\mathrm{1}\right){ways} \\ $$$${so}\:{the}\:{required}\:{ans}\:{is}\:…
Question Number 180027 by mr W last updated on 06/Nov/22 $$\mathrm{There}\:\mathrm{are}\:\mathrm{4}\:\mathrm{identical}\:\mathrm{mathematics} \\ $$$$\mathrm{books},\:\mathrm{3}\:\mathrm{identical}\:\mathrm{physics}\:\mathrm{books},\:\mathrm{2} \\ $$$$\mathrm{identical}\:\mathrm{chemistry}\:\mathrm{books}\:\mathrm{and}\:\mathrm{2} \\ $$$$\mathrm{identical}\:\mathrm{biology}\:\mathrm{books}.\:\mathrm{in}\:\mathrm{how}\:\mathrm{many} \\ $$$$\mathrm{ways}\:\:\mathrm{can}\:\mathrm{you}\:\mathrm{compile}\:\mathrm{these}\:\mathrm{books} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{same}\:\mathrm{books}\:\mathrm{are}\:\mathrm{not}\:\mathrm{mutually} \\ $$$$\mathrm{adjacent}. \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right)…
Question Number 179993 by mr W last updated on 05/Nov/22 $${How}\:{many}\:\mathrm{6}\:{digit}\:{numbers}\:{have} \\ $$$${different}\:{digits}\:{and}\:{are}\:{divisible}\:{by} \\ $$$$\mathrm{11}? \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right) \\ $$ Commented by Acem last updated on…
Question Number 179948 by mr W last updated on 04/Nov/22 $$\mathrm{20}\:{students}\:{should}\:{stand}\:{in}\:\mathrm{5} \\ $$$${different}\:{rows}.\:{each}\:{row}\:{should}\:{have} \\ $$$${at}\:{least}\:\mathrm{2}\:{students}.\:{in}\:{how}\:{many}\:{ways} \\ $$$${can}\:{you}\:{arrange}\:{them}? \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right) \\ $$ Commented by mr W…
Question Number 179818 by mr W last updated on 02/Nov/22 $${in}\:{how}\:{many}\:{ways}\:{can}\:{you}\:{distribute} \\ $$$$\mathrm{20}\:{different}\:{books}\:{to}\:\mathrm{5}\:{students}\:{such} \\ $$$${that}\:{each}\:{student}\:{gets}\:{at}\:{least}\:\mathrm{2}\:{books}? \\ $$ Answered by a.lgnaoui last updated on 03/Nov/22 $$…
Question Number 179738 by SLVR last updated on 01/Nov/22 $${Number}\:{of}\:{distributions}\:{of} \\ $$$$\mathrm{12}\:{different}\:{things}\:{be}\:{taken}\:{to} \\ $$$$\mathrm{3}{different}\:{boxes}\:{so}\:{as} \\ $$$$\left.\mathrm{1}\right)\mathrm{5}\:{things}\:{in}\:\mathrm{1}{st}\:{box}\:{exactly} \\ $$$$\left.\mathrm{2}\right)\mathrm{5}\:{things}\:{in}\:{any}\:{one}\:{box}? \\ $$ Answered by SLVR last updated…
Question Number 179699 by mr W last updated on 01/Nov/22 $$\mathrm{20}\:{students}\:{are}\:{numbered}\:{with}\:{the} \\ $$$${numbers}\:{from}\:\mathrm{1}\:{to}\:\mathrm{20}.\:\mathrm{10}\:{students}\:{are} \\ $$$${randomly}\:{selected}.\:{what}\:{is}\:{the} \\ $$$${probability}\:{that}\:{the}\:{sum}\:{of}\:{their} \\ $$$${numbers}\:{is}\:{exactly}\:\mathrm{100}? \\ $$ Commented by Rasheed.Sindhi last…
Question Number 179420 by mr W last updated on 29/Oct/22 $$\underline{{a}\:{challening}\:{question}:} \\ $$$${find}\:{the}\:{number}\:{of}\:{numbers}\:{which} \\ $$$${are}\:{divisible}\:{by}\:\mathrm{9}\:{and}\:{consist}\:{of} \\ $$$${distinct}\:{digits}. \\ $$ Commented by Frix last updated on…
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