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Category: Permutation and Combination

In-a-tennis-tournament-n-women-and-2n-men-played-Each-player-played-exactly-one-match-with-every-other-player-If-there-are-no-ties-and-the-number-of-the-matches-won-by-women-to-the-number-of-matches

Question Number 111275 by Aina Samuel Temidayo last updated on 03/Sep/20 Inatennistournamentnwomenand2nmenplayed.Eachplayerplayedexactlyonematchwitheveryotherplayer.Iftherearenotiesandthenumberofthematcheswonbywomentothenumberofmatcheswonbymen$$\mathrm{is}\:\mathrm{7}:\mathrm{5},\:\mathrm{find}\:\mathrm{n}. \

Tricolours-flags-each-flag-having-three-different-strips-of-non-overlapping-colours-are-to-be-designed-using-white-blue-red-yellow-and-black-strips-How-many-of-the-flags-have-blue-colour-

Question Number 111272 by Aina Samuel Temidayo last updated on 03/Sep/20 Tricoloursflags(eachflaghavingthreedifferentstripsofnonoverlappingcolours)aretobedesignedusingwhite,blue,red,yellowandblackstrips.Howmanyoftheflagshavebluecolour? Answered…

How-many-ways-can-the-letters-in-the-word-MATHEMATICS-be-rearranged-such-that-the-word-formed-neither-starts-nor-ends-with-a-vowel-and-any-four-consecutive-letters-must-contain-at-least-a-vowel-

Question Number 110729 by mr W last updated on 30/Aug/20 HowmanywayscanthelettersinthewordMATHEMATICSberearrangedsuchthatthewordformedneitherstartsnorendswithavowel,andanyfourconsecutivelettersmustcontainatleastavowel? Answered by…

In-the-square-PQRS-K-is-the-midpoint-of-PQ-L-is-the-midpoint-of-QR-M-is-the-midpoint-RS-N-is-the-midpoint-of-SP-and-O-is-the-midpoint-of-KM-A-line-segment-is-drawn-from-each-pair-of-points-from-

Question Number 110523 by Aina Samuel Temidayo last updated on 29/Aug/20 InthesquarePQRS,KisthemidpointofPQ,ListhemidpointofQR,MisthemidpointRS,NisthemidpointofSPandOisthemidpointofKM.Alinesegmentisdrawnfrom$$\mathrm{each}\:\mathrm{pair}\:\mathrm{of}\:\mathrm{points}\:\mathrm{from} \

How-many-ways-can-the-letters-in-the-word-MATHEMATICS-be-rearranged-such-that-the-word-formed-either-starts-or-ends-with-a-vowel-and-any-three-consecutive-letters-must-contain-a-vowel-

Question Number 110498 by Aina Samuel Temidayo last updated on 29/Aug/20 HowmanywayscanthelettersinthewordMATHEMATICSberearrangedsuchthatthewordformedeitherstartsorendswithavowel,andanythreeconsecutivelettersmustcontainavowel? Commented…