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1. At a certain conference of 100 people,there are 29 Indians women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. If 8A foreigners and B women doctors are attending the conference, then find the value of A-B. 1. At a certain conference of 100 people,there are 29 Indians women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. If 8A foreigners and B women doctors are attending the conference, then find the value of A-B.
Number of indians= indian men+indian women= 29+23=52Number of foreigners=100-52=48Given, number of foreigners=8ASo, A=6And of the 24 people whose information is given as:‘Of these Indian people 4 are doctors and 24 are either men or doctors.’As we have 23 indian men, there are 3 who are men and doctors as:The following eqn is just written considering only the Indian doctors and men specifically as information given in the questionn(M+D)= n(M)+n(D)-n(M.D)24= 23+4-n(M.D)n(M.D)=3this means that 3 indian men who are doctors.As 4 indians are doctors, so only 1 indian woman is a doctorAnd , there is no foreign doctor, soNumber of women doctors at the conference=1 =BB=1So, A-B=6-1=5
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