Question Number 180186 by Ar Brandon last updated on 08/Nov/22 $$\:\:\:\mathrm{A}\:\mathrm{maintenance}\:\mathrm{manager}\:\mathrm{wishes}\:\mathrm{to}\:\mathrm{repair}\:\mathrm{8}\:\mathrm{out}\:\mathrm{of}\: \\ $$$$\mathrm{15}\:\mathrm{machines}\:\mathrm{down}.\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{he}\:\mathrm{create} \\ $$$$\mathrm{a}\:\mathrm{list}\:\mathrm{of}\:\mathrm{8}\:\mathrm{machines} \\ $$$$\mathrm{a}\backslash\:\mathrm{If}\:\mathrm{he}\:\mathrm{has}\:\mathrm{to}\:\mathrm{precise}\:\mathrm{the}\:\mathrm{hour}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$$$\mathrm{b}\backslash\:\mathrm{If}\:\mathrm{he}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{precise}\:\mathrm{the}\:\mathrm{hour}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$$$\mathrm{c}\backslash\:\mathrm{Haven}\:\mathrm{chosen}\:\mathrm{the}\:\mathrm{8}\:\mathrm{machines},\:\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can} \\ $$$$\mathrm{he}\:\mathrm{define}\:\mathrm{the}\:\mathrm{order}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$…
Question Number 180162 by Acem last updated on 08/Nov/22 $${How}\:{many}\:{words}\:{can}\:{be}\:{formed}\:{from}\:{letters}\:{of}\:{the} \\ $$$$\:“{Your}\:{answer}\:{is}\:{wrong}''?\:{So}\:{that}\:{they}\:{shouldn}'{t} \\ $$$$\:{start}\:{with}\:'{o}'\:{neither}\:'{w}'\:{and}\:\:{shouldn}'{t}\:{end} \\ $$$$\:{with}\:'{w}',\:{and}\:{should}\:{be}'{r}'\:\&\:'{s}'\:{adjacents}. \\ $$$$ \\ $$$$\:\cancel{{O}ya}…{n},\:\cancel{{W}en}…{y},\:{Iog}…\cancel{{w}}\:,\:{You}\cancel{{r}w}\cancel{{s}}…{e}\:\::\:{are}\:{invalid} \\ $$$$\:{Enrsow}…{g}\::\:{is}\:{valid} \\ $$$$ \\…
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Question Number 180151 by ali009 last updated on 07/Nov/22 $$\left.\mathrm{1}\right){twenty}\:{men}\:{are}\:{invited}\:{for}\:{a}\:{dinner}\:{and}\:{are}\:{to}\: \\ $$$${be}\:{seated}\:{around}\:{a}\:{circular}\:{table}.{how} \\ $$$${many}\:{diffrent}\:{arrangment}\:{are}\:{possible}? \\ $$$$\left.\mathrm{2}\right){with}\:{ten}\:{men}\:{and}\:{ten}\:{women}.\:{how}\:{many} \\ $$$${diffrent}\:{arrangment}\:{are}\:{possible}\:{that} \\ $$$${alternate}\:{men}\:{and}\:{women}? \\ $$$$ \\ $$ Answered…
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Question Number 179906 by Acem last updated on 04/Nov/22 $$\mathrm{2}\:{boxes},\:\mathrm{1}{st}\:{contains}\:\mathrm{4}\:{white}\:\&\:\mathrm{6}\:{black}\:{balls} \\ $$$$\:\mathrm{2}{nd}\:{box}\:{contains}\:\mathrm{8}\:{white}\:\&\:\mathrm{8}\:{black}\:{balls} \\ $$$$\:{We}\:{randomly}\:{draw}\:{a}\:{ball},\:{got}\:{a}\:{black}\:{one} \\ $$$$\:{What}'{s}\:{probability}\:{that}\:{it}\:{was}\:{drawn}\:{from}\:{Box}_{\mathrm{2}} ? \\ $$ Answered by som(math1967) last updated on…
Question Number 179545 by cortano1 last updated on 30/Oct/22 $$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{n}\:\mathrm{people}\: \\ $$$$\:\:\left(\mathrm{n}\leqslant\mathrm{365}\right)\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random}\:\mathrm{will} \\ $$$$\:\:\mathrm{have}\:\mathrm{n}\:\mathrm{different}\:\mathrm{birthdays}. \\ $$ Commented by mr W last updated on 30/Oct/22 $${for}\:\mathrm{2}\:{people}\:{i}\:{got}\:{p}\approx\mathrm{99}.\mathrm{5\%}…
Question Number 179542 by cortano1 last updated on 30/Oct/22 $$\:\:\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{play}\:\mathrm{a}\:\mathrm{game}\:\mathrm{in}\:\mathrm{which}\:\mathrm{they} \\ $$$$\:\:\mathrm{alternately}\:\mathrm{toss}\:\mathrm{a}\:\mathrm{pair}\:\mathrm{of}\:\mathrm{dice}.\:\mathrm{The} \\ $$$$\:\:\mathrm{one}\:\mathrm{who}\:\mathrm{is}\:\mathrm{first}\:\mathrm{to}\:\mathrm{get}\:\mathrm{a}\:\mathrm{total}\:\mathrm{of}\:\mathrm{7}\:\mathrm{wins} \\ $$$$\:\:\mathrm{the}\:\mathrm{game}\:.\:\mathrm{Find}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{the}\:\mathrm{one} \\ $$$$\:\:\mathrm{who}\:\mathrm{tosses}\:\mathrm{second}\:\mathrm{will}\:\mathrm{win}\:\mathrm{the}\:\mathrm{game} \\ $$$$ \\ $$ Answered by Frix…
Question Number 113919 by bemath last updated on 16/Sep/20 $${Given}\:{a}\:{set}\:{data}\:\: \\ $$$$:\:\mathrm{2},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{8},\mathrm{8},\mathrm{9},\mathrm{11},\mathrm{14}. \\ $$$${find}\:{the}\:{value}\:{of}\:{Q}_{\mathrm{1}} \\ $$ Answered by bemath last updated on 16/Sep/20 $${i}\:{got}\:{Q}_{\mathrm{1}} =\:{X}_{\frac{\mathrm{12}+\mathrm{2}}{\mathrm{4}}}…
Question Number 113605 by bobhans last updated on 14/Sep/20 $$\mathrm{A}\:\mathrm{bag}\:\mathrm{contains}\:\mathrm{6}\:\mathrm{red},\:\mathrm{5}\:\mathrm{white}\:\mathrm{and}\:\mathrm{4}\:\mathrm{black}\:\mathrm{balls} \\ $$$$\mathrm{If}\:\mathrm{twl}\:\mathrm{balls}\:\mathrm{are}\:\mathrm{drawn}\:,\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{none}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are}\:\mathrm{red}\:? \\ $$$$ \\ $$ Commented by bemath last updated on 14/Sep/20…