Question Number 180335 by SLVR last updated on 10/Nov/22 $${The}\:{integers}\:{between}\:\mathrm{1}\:{to}\:\mathrm{10}^{\mathrm{4}} \\ $$$${contain}\:{exactly}\:{one}\:\mathrm{8}\:\:{and}\:{one}\:\mathrm{9} \\ $$$${is}?\:{I}\:{got}\:\mathrm{1160}\:{but}\:{one}\:\:{is}\:{arguing} \\ $$$$\mathrm{1154}{only}..{kindly}\:{help}\:{me}\:{out} \\ $$ Commented by mr W last updated on…
Question Number 114797 by bemath last updated on 21/Sep/20 $${There}\:{are}\:\mathrm{6}\:{people}\:{going}\:{to}\:{sit}\:{in}\: \\ $$$${a}\:{circle}\:.\:{The}\:{number}\:{of}\:{arrangements} \\ $$$${they}\:{sit}\:{if}\:{there}\:{are}\:\mathrm{2}\:{people}\:{who} \\ $$$${always}\:{sit}\:{next}\:{to}\:{each}\:{other} \\ $$ Answered by mr W last updated on…
Question Number 180212 by Acem last updated on 09/Nov/22 $${How}\:{many}\:{polygons}\:{can}\:{be}\:{formed} \\ $$$$\:{from}\:{a}\:{heptagon}?\: \\ $$ Answered by mr W last updated on 10/Nov/22 $${a}\:{polygon}\:{is}\:{a}\:{closed}\:{path}\:{starting}\:{from} \\ $$$${a}\:{point}\:{and}\:{ending}\:{at}\:{the}\:{same}\:{point}.…
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Question Number 49036 by Tinkutara last updated on 01/Dec/18 Commented by prakash jain last updated on 02/Dec/18 $$\mathrm{2}^{{n}−\mathrm{1}} \:{gave}\:{at}\:{least}\:\mathrm{1}\:{wrong}\:{answer} \\ $$$$\left({include}\:{student}\:{with}\:\mathrm{2}\:{wrong}\:{answers}\right) \\ $$$$\mathrm{2}^{{n}−\mathrm{2}} \:{gave}\:{at}\:{least}\:\mathrm{2}\:{wrong}\:{amswers}\: \\…
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Question Number 49034 by Tinkutara last updated on 01/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 02/Dec/18 $${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)…