Category: Permutation and Combination

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 3273 by Yozzi last updated on 09/Dec/15 $$\ast \ast \ast \ast Onecanonlymovetothe$$$$\ast \ast \ast \ast rightordownwardsonthe$$$$\ast \ast \ast \ast 4by6pointlatticeshown.$$$$\ast \ast \ast \ast Howmanypathsfrom\ast to$$$$\ast \ast \ast \ast \ast arethere?$$$$\ast \ast \ast \ast$$$$$$ Answered…

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 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 133995 by mr W last updated on 26/Feb/21 $$inhowmanywayscannmenand$$$$nwomenbearrangedinarowsuch$$$$thatmenandwomenalternate?$$ Commented by benjo_mathlover last updated on 26/Feb/21 $$=\:\mathrm{2}×\mathrm{n}!×\mathrm{n}!\:=\:\mathrm{2}×\left(\mathrm{n}!\right)^{\mathrm{2}}…