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Category: Permutation and Combination

A-delegation-of-4-people-is-to-be-selected-from-5-women-and-6-men-Find-the-number-of-possible-delegations-if-a-there-are-no-restrictions-b-there-is-at-least-1-woman-c-there-are-at-least-2-w

Question Number 5280 by Rasheed Soomro last updated on 04/May/16 Adelegationof4peopleistobeselectedfrom5womenand6men.Findthenumberofpossibledelegationsif(a)therearenorestrictions,(b)thereisatleast1woman,(c)thereareatleast2women.Oneofthemencannotgetalongwith$$\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{women}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}…

Calculate-the-number-of-ways-in-which-a-5-children-can-be-divided-into-groups-of-2-and-3-b-9-children-can-be-divided-into-groups-of-5-and-4-Hence-calculate-the-number-of-ways-in-which-9-childre

Question Number 5254 by Rasheed Soomro last updated on 02/May/16 Calculatethenumberofwaysinwhich(a)5childrencanbedividedintogroupsof2and3,(b)9childrencanbedividedintogroupsof5and4,Hencecalculatethenumberofwaysinwhich9childrencanbedividedinto$$\mathrm{groups}\:\mathrm{of}\:\mathrm{2},\mathrm{3}\:\mathrm{and}\:\mathrm{4}.…