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
- Total number of Indian people: 29 + 23 = 52
- Number of Indian doctors: 4
- Number of Indian men or doctors: 24
**Analysis:**
Let's break down the given information to solve the problem.
- Total number of Indian people attending the conference = Number of Indian women + Number of Indian men = 29 + 23 = 52
We also know that the number of Indian people who are either men or doctors is 24. This means that there are 24 Indian men who are not doctors.
- Number of Indian men who are not doctors = Number of Indian men - Number of Indian men or doctors = 23 - 24 = -1
This result doesn't make sense because the number of Indian men who are not doctors cannot be negative. Therefore, there must be an error in the given information.
Based on the given information, we can conclude that there is no solution to the problem as it contradicts itself. It is not possible to determine the number of women doctors attending the conference with the information provided.
However, if we assume that there is an error in the given information and the number of Indian men or doctors is actually 24, then we can solve the problem as follows:
**Solution:**
Let's assume the number of women doctors attending the conference is W.
- Number of Indian doctors = 4
- Number of Indian men or doctors = 24
According to the given information, the number of Indian people who are either men or doctors is 24. This means that there are 24 Indian men who are not doctors.
- Number of Indian men who are not doctors = Number of Indian men - Number of Indian men or doctors = 23 - 24 = -1
Since this result doesn't make sense, we assume there is an error in the given information. Let's correct it by assuming the number of Indian men or doctors is 24.
- Number of Indian men who are not doctors = Number of Indian men - Number of Indian men or doctors = 23 - 24 = -1
Now, the result is logical. There are -1 Indian men who are not doctors, which means there are no Indian men who are not doctors.
- Number of Indian men who are doctors = Number of Indian men - Number of Indian men who are not doctors = 23 - (-1) = 24
The number of women doctors can be calculated as follows:
- Number of Indian doctors = Number of Indian women doctors + Number of Indian men doctors = W + 24
Since the total number of Indian doctors is 4, we can write the equation:
- 4 = W + 24
Solving the equation, we find:
- W = 4 - 24 = -20
This result doesn't make sense because the number of women doctors cannot be negative. Therefore, there is no solution to the problem with the given information.
In conclusion, based on the information provided, we cannot determine the number of women doctors attending the conference.