At a certain conference of $$100$$ people, there are $$29$$ Indian women and $$23$$ Indian men. Of these Indian people $$4$$ arcdoctors and $$24$$ are either men or doctors. There are no foreign doctors. How many foreigners and women doctorsare attending the conference?

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See the following Venn diagram.     $$n(I)=29+23=52$$,    $$n(F)=100$$−$$52=48$$,    $$n(M$$∪$$D)=n(M)+n(D)$$−$$n(M$$∩$$D)$$⇒    $$24=23+4$$−$$n(M$$∩$$D)$$∴    $$n(M$$∩$$D)=3$$∴    $$n(W$$∩$$D)=4$$−$$3=1$$

At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 arc
doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors
are attending the conference?

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At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 arcdoctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctorsare attending the conference?

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 arc
doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors
are attending the conference?