At a certain conference of 100 people there are 29 Indian women and 23 Indian men . Out of these Indian people 4 are doctor and 24 are either men or doctors . There are no foriegn doctors. The number of women doctors attending the conference is ?
Answers
Let, M = Indian men, W=Indian women, D = Indian doctors.
According to question, n(M u D)= 24, n(M) = 23, n(W)= 29, n(D)= 4.
As per the set rule, n(M u D) = n(M) + n(D) – n(M ^ D). This implies, n(M^D) = 3.
Since, three men are doctors, therefore, number of women doctors=4-3 =1.
1 Women Doctor
Let us assume M and W to be the Indian men and the Indian Women.
Given:
Total number of people that are there = 100 people
Number of Indian men = 23 men
Number of Indian women = 29 women
Number of them that are either men or doctors n(MUD) = 24
Calculating the number of Indian men and doctors:
= n(MUD) = n(M) + n(D) - n(M∩D)
Substituting the values into this formula we get:
24 = 23 + 4 - n(M∩D)
= n(M∩D) =27 - 24
= 3
From this we get to know that:
There are Four Indian doctors and Three men.
From this we understand that the number of women doctor that is attending the conference is 1.
Therefore, the number of women doctor who is attending the conference is 1 .