Question and Answers Forum

All Questions      Topic List

Permutation and Combination Questions

Previous in All Question      Next in All Question      

Previous in Permutation and Combination      Next in Permutation and Combination      

Question Number 97045 by john santu last updated on 06/Jun/20

$$\mathrm{a}\mathrm{committee}\mathrm{consisting}\mathrm{of}$$ $$5\mathrm{men}\mathrm{\&}4\mathrm{women}\mathrm{is}\mathrm{to}\mathrm{be}$$ $$\mathrm{chosen}\mathrm{from}8\mathrm{men}\mathrm{\&}4\mathrm{women}.$$ $$\mathrm{If}\mathrm{one}\mathrm{man}\mathrm{\&}\mathrm{one}\mathrm{woman}\mathrm{are}\mathrm{husband}$$ $$\mathrm{\&}\mathrm{wife},\mathrm{how}\mathrm{many}\mathrm{ways}\mathrm{can}$$ $$\mathrm{the}\mathrm{committee}\mathrm{be}\mathrm{chosen}\mathrm{if}$$ $$\mathrm{only}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{husband}\mathrm{\&}\mathrm{wife}$$ $$\mathrm{must}\mathrm{be}\mathrm{chosen}?$$

Commented bybemath last updated on 06/Jun/20

$$\iff \mathrm{C}(7,5)=\frac{7.6.}{2.1}=21$$

Commented bymr W last updated on 06/Jun/20

$$sincethereareonly4womenand$$ $$4womenmustbechosen,soall$$ $$womenmustbechosenandthewife$$ $$isalwayschosenandthehusband$$ $$canneverbechosen.sothequestion$$ $$isinhowmanywayscan5menbe$$ $$chosenfromtheother7men,the$$ $$answeris{C}_5^7=21.$$

Commented bybemath last updated on 06/Jun/20

$$\mathrm{oo}\mathrm{sorry}.\mathrm{i}\mathrm{misread}\mathrm{the}\mathrm{question}$$

Commented byjohn santu last updated on 06/Jun/20

$$\mathrm{yes}.\mathrm{right}.\mathrm{thank}\mathrm{you}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com