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At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Out of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. The number of women doctors attending the conference is
- a)2
- b)4
- c)1
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
At a certain conference of 100 people there are 29 Indian women and 23...
Let us define the following events as:
M: Indian men
W: Indian women
D: Doctors who are Indian
So, now we have
n(M ∪ D) = 24
n(W) = 29
n(M) = 23
n(D) = 4
Total persons = 100
Consider, n(M ∪ D) = n(M) + n(D) – n(M ∩ D)
⇒ 24 = 23 + 4 – n(M ∩ D)
⇒ n(M ∩ D) = 3
⇒ Number of Indian men who are doctors = 3
But only 4 Indian people are doctors.
∴ Number of Indian women who are doctors = 4 – 3 = 1
Most Upvoted Answer
At a certain conference of 100 people there are 29 Indian women and 23...
Given information:
- Total number of people at the conference = 100
- Number of Indian women = 29
- Number of Indian men = 23
- Number of Indian doctors = 4
- Number of Indian men or doctors = 24
To find: Number of Indian women doctors at the conference
Solution:
Let's start by creating a Venn diagram to represent the given information:
Indian
/ \
Women Men
/ \ / \
Doctors ND Doctors ND
ND = Not Doctors
We know that there are a total of 4 Indian doctors. Let's add that information to the Venn diagram:
Indian
/ \
Women Men
/ \ / \
2 ND 2 22
We can see that out of the 4 Indian doctors, 2 are women. Therefore, the answer is 2.
Answer: Option (C) 1.
- Total number of people at the conference = 100
- Number of Indian women = 29
- Number of Indian men = 23
- Number of Indian doctors = 4
- Number of Indian men or doctors = 24
To find: Number of Indian women doctors at the conference
Solution:
Let's start by creating a Venn diagram to represent the given information:
Indian
/ \
Women Men
/ \ / \
Doctors ND Doctors ND
ND = Not Doctors
We know that there are a total of 4 Indian doctors. Let's add that information to the Venn diagram:
Indian
/ \
Women Men
/ \ / \
2 ND 2 22
We can see that out of the 4 Indian doctors, 2 are women. Therefore, the answer is 2.
Answer: Option (C) 1.
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Community Answer
At a certain conference of 100 people there are 29 Indian women and 23...
Solution
Step -1: Find the total number of Indians at the conference.
Total Indians=Indian women+Indian men.
=29+23
=52
Step -2: Find the number of foreigners at the conference.
As, total number of people at the conference=100.
∴Number of foreigners=Total people−Number of total Indians.
=100−52
=48
Step -3: Find the number of women doctors at the conference.
Number of doctors=4
Given, either Indian men or doctor, i.e. (Indian men∪ Doctor)=24
∵n(A∪B)=n(A)+nB−n(A∩B)
∴n(Indian men∪Doctor)=n(Indian men)+n(Doctor)−n(Indian men∩Doctor)
⇒24=23+4−n(Indian men∩Doctor)
⇒n(Indian men∩Doctor)=3
As, there are no foreign doctors so, all doctors are Indian.
⇒Men doctors=3
Women doctors=Total doctors−Men doctors
=4−3
=1
Step -1: Find the total number of Indians at the conference.
Total Indians=Indian women+Indian men.
=29+23
=52
Step -2: Find the number of foreigners at the conference.
As, total number of people at the conference=100.
∴Number of foreigners=Total people−Number of total Indians.
=100−52
=48
Step -3: Find the number of women doctors at the conference.
Number of doctors=4
Given, either Indian men or doctor, i.e. (Indian men∪ Doctor)=24
∵n(A∪B)=n(A)+nB−n(A∩B)
∴n(Indian men∪Doctor)=n(Indian men)+n(Doctor)−n(Indian men∩Doctor)
⇒24=23+4−n(Indian men∩Doctor)
⇒n(Indian men∩Doctor)=3
As, there are no foreign doctors so, all doctors are Indian.
⇒Men doctors=3
Women doctors=Total doctors−Men doctors
=4−3
=1
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At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Out of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. The number of women doctors attending the conference isa)2b)4c)1d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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