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Category: Permutation and Combination

The-president-of-a-republic-wishes-to-assign-the-premiership-the-vice-premiership-and-six-other-cabinet-posts-to-a-selected-group-of-8-comprising-of-6-career-diplomats-and-2-business-men-If-none-of-t

Question Number 27514 by NECx last updated on 08/Jan/18 Thepresidentofarepublicwishestoassignthepremiership,thevicepremiership,andsixothercabinetpoststoaselectedgroupof8,comprisingof6careerdiplomatsand2businessmen.Ifnoneofthebusinessmencanbe$${made}\:{premier}\:{or}\:{vice}\:{premier},{in} \

1-There-are-20-boys-and-10-girls-in-a-class-If-a-committee-of-6-is-to-be-chosen-at-random-having-atleast-2-boys-and-2-girls-find-the-probability-that-i-there-ara-3-boys-in-the-committee-ii-the

Question Number 27270 by das47955@mail.com last updated on 05/Jan/18 (1)Thereare20boysand10girlsinaclass.Ifacommitteeof6istobechosenatrandomhavingatleast2boysand2girls,findtheprobabilitythat(i)thereara3boysinthecommittee$$\left(\boldsymbol{\mathrm{ii}}\right)\:\boldsymbol{\mathrm{there}}\:\boldsymbol{\mathrm{are}}\:\mathrm{4}\:\boldsymbol{\mathrm{boys}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{the}}\: \