Question Number 134482 by benjo_mathlover last updated on 04/Mar/21 $$ \\ $$How many ways can this be done if you distribute 25 identical pieces of…
Question Number 134389 by EDWIN88 last updated on 03/Mar/21 $$\mathrm{Eight}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{tossed}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{identical}\:\mathrm{in} \\ $$$$\mathrm{appearance}\:,\:\mathrm{how}\:\mathrm{many}\:\mathrm{different}−\mathrm{looking}\: \\ $$$$\left(\mathrm{distinguishable}\right)\:\mathrm{occurrences}\:\mathrm{are}\:\mathrm{there}? \\ $$ Answered by bramlexs22 last updated on 03/Mar/21 $$\mathrm{Theorem}\: \\…
Question Number 3274 by Yozzi last updated on 09/Dec/15 $${I}\:{have}\:\mathrm{25}\:{horses}\:{and}\:{I}'{d}\:{like}\:{to} \\ $$$${know}\:{which}\:{are}\:{the}\:{three}\:{fastest} \\ $$$${horses}\:{among}\:{them}.\:{I}\:{do}\:{not}\:{have}\:{a} \\ $$$${clock}\:{but}\:{I}\:{have}\:{a}\:{race}\:{track}\:{which} \\ $$$${can}\:{be}\:{used}\:{by}\:\mathrm{5}\:{horses}\:{at}\:{a}\:{time}. \\ $$$${If}\:{each}\:{horse}\:{covers}\:{the}\:{distance} \\ $$$${of}\:{the}\:{track}\:{in}\:{the}\:{same}\:{time}\:{for} \\ $$$${every}\:{race}\:{it}\:{runs},\:{find}\:{the}\:{least} \\…
Question Number 3273 by Yozzi last updated on 09/Dec/15 $$\ast\:\:\ast\:\:\ast\:\:\ast\:\:\:\:{One}\:{can}\:{only}\:{move}\:{to}\:{the} \\ $$$$\ast\:\:\ast\:\:\ast\:\:\ast\:\:\:\:{right}\:{or}\:{downwards}\:{on}\:{the} \\ $$$$\ast\:\:\ast\:\:\ast\:\:\ast\:\:\:\:\mathrm{4}\:{by}\:\mathrm{6}\:{point}\:{lattice}\:{shown}. \\ $$$$\ast\:\:\ast\:\:\ast\:\:\ast\:\:\:\:{How}\:{many}\:{paths}\:{from}\:\ast\:{to} \\ $$$$\ast\:\:\ast\:\:\ast\:\:\ast\:\:\:\:\:\:\ast\:{are}\:{there}?\: \\ $$$$\ast\:\:\ast\:\:\ast\:\:\ast \\ $$$$ \\ $$ Answered…
Question Number 134329 by bramlexs22 last updated on 02/Mar/21 $$ \\ $$How many ways can 15 basketball players be assigned to Team A, Team B,…
Question Number 134292 by bramlexs22 last updated on 02/Mar/21 $$ \\ $$The digits 1, 2, 3, 4, 5, 6, and 7 are written on separate…
Question Number 3216 by prakash jain last updated on 07/Dec/15 $$\mathrm{You}\:\mathrm{have}\:\mathrm{unlimited}\:\mathrm{number}\:\mathrm{of}\:\mathrm{1kg},\:\mathrm{5kg} \\ $$$$\mathrm{10kg}\:\mathrm{and}\:\mathrm{25}\:\mathrm{kg}\:\mathrm{weights}.\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways} \\ $$$$\mathrm{you}\:\mathrm{can}\:\mathrm{create}\:\mathrm{a}\:\mathrm{total}\:\mathrm{of}\:\mathrm{43kg}. \\ $$$$\mathrm{For}\:\mathrm{example} \\ $$$$\mathrm{43}×\mathrm{1} \\ $$$$\mathrm{5}×\mathrm{8}+\mathrm{3}×\mathrm{2} \\ $$$$\mathrm{etc}. \\ $$…
Question Number 134232 by liberty last updated on 01/Mar/21 $$ \\ $$In how many ways can 5 men, 4 women, and 3 children be arranged…
Question Number 134205 by liberty last updated on 01/Mar/21 $$ \\ $$The numbers 1,2,3,4,5,6,7,8,9 and 10 are written around a circle in arbitrary order. We…
Question Number 133995 by mr W last updated on 26/Feb/21 $${in}\:{how}\:{many}\:{ways}\:{can}\:{n}\:{men}\:{and} \\ $$$${n}\:{women}\:{be}\:{arranged}\:{in}\:{a}\:{row}\:{such} \\ $$$${that}\:{men}\:{and}\:{women}\:{alternate}? \\ $$ Commented by benjo_mathlover last updated on 26/Feb/21 $$=\:\mathrm{2}×\mathrm{n}!×\mathrm{n}!\:=\:\mathrm{2}×\left(\mathrm{n}!\right)^{\mathrm{2}}…