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Question Number 6098 by Rasheed Soomro last updated on 13/Jun/16 $$\mathrm{A}\:\mathrm{party}\:\mathrm{of}\:\:\mathrm{7}\:\:\:\mathrm{members}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen} \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\:\mathrm{6}\:\:\mathrm{ladies}\:\mathrm{and}\:\:\mathrm{5}\:\:\mathrm{gents}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{the}\:\mathrm{party}\:\mathrm{be} \\ $$$$\mathrm{formed}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{to}\:\mathrm{contain} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{exactly}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{least}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{most}\:\mathrm{4}\:\:\mathrm{ladies}\:? \\ $$…
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Question Number 5897 by sanusihammed last updated on 04/Jun/16 $${If}\:{four}\:{people}\:{all}\:{said}\:\:{HELLO}\:{to}\:{each}\:{other}\:{once}.\:{how}\:{many}\: \\ $$$${times}\:{would}\:{the}\:{word}\:\:{HELLO}\:\:{be}\:{spoken}\:? \\ $$ Answered by FilupSmith last updated on 04/Jun/16 $${person}\:\mathrm{1}\:{talks}\:{to}\:\mathrm{3}\:{people} \\ $$$${person}\:\mathrm{2}\:{talks}\:{to}\:\mathrm{2}\:{people} \\…
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Question Number 136375 by nadovic last updated on 22/Mar/21 $$\mathrm{A}\:\mathrm{bowl}\:\mathrm{contains}\:\mathrm{carefully}\:\mathrm{shredded} \\ $$$$\mathrm{confetti},\:\mathrm{6}\:\mathrm{of}\:\mathrm{which}\:\mathrm{are}\:\mathrm{blue}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{remaining}\:\mathrm{12}\:\mathrm{are}\:\mathrm{red}. \\ $$$$\mathrm{Each}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{confetti}\:\mathrm{is}\:\mathrm{either}\:\mathrm{circular} \\ $$$$\mathrm{triangular}\:\mathrm{or}\:\mathrm{rectangular}\:\mathrm{in}\:\mathrm{shape}\:\mathrm{and} \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{1}:\mathrm{3}:\mathrm{2}\:\mathrm{for}\:\mathrm{each}\:\mathrm{colour} \\ $$$$\mathrm{respectively}.\:\mathrm{If}\:\mathrm{they}\:\mathrm{are}\:\mathrm{thrown}\:\mathrm{up}\: \\ $$$$\boldsymbol{\mathrm{thrice}}\:\mathrm{in}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{competition}\:\mathrm{and}\:\mathrm{a} \\…
Question Number 136151 by bramlexs22 last updated on 19/Mar/21 $${If}\:{A}\:{and}\:{B}\:{toss}\:{n}+\mathrm{1}\:{and}\:{n}\:{fairs} \\ $$$${coins}\:{respectively},\:{what}\:{is}\:{the} \\ $$$${probability}\:{P}_{{n}} \:{that}\:{A}\:{gets}\:{more} \\ $$$${heads}\:{than}\:{B} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 136109 by physicstutes last updated on 18/Mar/21 $$\mathrm{A}\:\:\mathrm{particle}\:\mathrm{moving}\:\mathrm{on}\:\mathrm{the}\:\mathrm{inside}\:\mathrm{surface}\:\mathrm{of}\:\:\mathrm{fixed}\:\mathrm{spherical}\:\mathrm{bolw}\:\mathrm{of} \\ $$$$\mathrm{radius}\:\mathrm{2}\:\mathrm{m}.\:\mathrm{It}\:\mathrm{describes}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{circle}\:\mathrm{at}\:\:\mathrm{distance}\:\mathrm{of}\:\frac{\mathrm{6}}{\mathrm{5}}\:\mathrm{m}\:\mathrm{below} \\ $$$$\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bowl}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{particle} \\ $$$$\left.\left(\mathrm{b}\right)\right)\mathrm{the}\:\mathrm{period}\:\mathrm{of}\:\mathrm{the}\:\mathrm{motion} \\ $$ Answered by mr W last…