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Category: Permutation and Combination

Out-of-6-mathematicians-and-7-physicists-a-committee-consisting-of-3-mathematicians-and-3-physicists-is-to-be-formed-In-how-many-ways-can-this-be-done-if-two-particular-mathematicians-cannot-be-on-t

Question Number 56961 by pete last updated on 27/Mar/19 Outof6mathematiciansand7physicistsacommitteeconsistingof3mathematiciansand3physicistsistobeformed.Inhowmanywayscanthisbedoneiftwoparticularmathematicianscannotbeonthecommitee? Answered by tanmay.chaudhury50@gmail.com…

Given-a-set-H-1-2-3-300-We-will-a-create-a-subset-of-H-consisting-of-three-elements-If-the-sum-of-the-three-elements-is-divisible-by-3-then-the-number-of-subsets-that-canbe-made-is-x-Find

Question Number 187948 by horsebrand11 last updated on 24/Feb/23 GivenasetH={1,2,3,,300.WewillacreateasubsetofHconsistingofthreeelements.Ifthesumofthethreeelementsisdivisibleby3thenthenumberofsubsetsthatcanbemadeisx.Findthe$$\mathrm{remaind}{e}\mathrm{r}\:\mathrm{if}\:\mathrm{x}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{100000} \