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Q-In-how-many-ways-8-students-can-be-divided-into-two-equal-groups-Ans-8-2-4-2-here-why-two-factorial-is-divided-we-do-not-do-the-same-incase-of-distributing-52-cards-equally-




Question Number 51779 by aseerimad last updated on 30/Dec/18
Q=  In how many ways 8 students can be divided into two equal groups?    Ans=    ((8!)/(2!×(4!)^2 ))       here why two factorial is divided?  we do not do the same incase of distributing 52 cards equally among 4 persons.    pls explain...
$${Q}=\:\:{In}\:{how}\:{many}\:{ways}\:\mathrm{8}\:{students}\:{can}\:{be}\:{divided}\:{into}\:{two}\:{equal}\:{groups}? \\ $$$$ \\ $$$${Ans}=\:\:\:\:\frac{\mathrm{8}!}{\mathrm{2}!×\left(\mathrm{4}!\right)^{\mathrm{2}} }\:\:\: \\ $$$$ \\ $$$${here}\:{why}\:{two}\:{factorial}\:{is}\:{divided}? \\ $$$${we}\:{do}\:{not}\:{do}\:{the}\:{same}\:{incase}\:{of}\:{distributing}\:\mathrm{52}\:{cards}\:{equally}\:{among}\:\mathrm{4}\:{persons}. \\ $$$$ \\ $$$${pls}\:{explain}… \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 30/Dec/18
Commented by tanmay.chaudhury50@gmail.com last updated on 30/Dec/18
Commented by aseerimad last updated on 30/Dec/18
Thank you

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