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Category: Permutation and Combination

There-are-4-identical-mathematics-books-2-identical-physics-books-2-identical-chemistry-books-and-2-identical-biology-books-in-how-many-ways-can-you-compile-the-10-books-such-that-same-books-are-n

Question Number 112934 by mr W last updated on 10/Sep/20 Thereare4identicalmathematicsbooks,2identicalphysicsbooks,2identicalchemistrybooksand2identicalbiologybooks.inhowmanywayscanyoucompilethe10bookssuchthatsamebooksarenotmutuallyadjacent.

There-are-2016-straight-lines-drawn-on-a-board-such-that-1-2-of-the-lines-are-parallel-to-one-another-3-8-of-them-meet-at-a-point-and-each-of-the-remaining-ones-intersect-with-all-other-lines-on-

Question Number 112812 by Aina Samuel Temidayo last updated on 09/Sep/20 Thereare2016straightlinesdrawnonaboardsuchthat12ofthelinesareparalleltooneanother.38ofthemmeetatapointandeachoftheremainingonesintersectwithallotherlinesontheboard.Determine$$\mathrm{the}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{intersections} \

A-rectangular-cardboard-is-8cm-long-and-6cm-wide-What-is-the-least-number-of-beads-you-can-arrange-on-the-board-such-that-there-are-at-least-two-of-the-beads-that-are-less-than-10-cm-apart-

Question Number 112531 by Aina Samuel Temidayo last updated on 08/Sep/20 Arectangularcardboardis8cmlongand6cmwide.Whatistheleastnumberofbeadsyoucanarrangeontheboardsuchthatthereareatleasttwoofthebeadsthatarelessthan10cmapart. Commented…