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At a conference with 100 attendees, 29 are Indian women and 23 are Indian men. Among the Indian attendees, 4 are doctors, and 24 are either men or doctors. If there are no foreign doctors, how many foreigners and how many women doctors are present at the conference?

1. 48, 1
2. 34, 3
3. 46, 4
4. 42, 2

Correct answer: 48, 1

Solution

Indians = 29 + 23 = 52, so foreigners = 100 - 52 = 48 (all doctors are Indian). For Indians, |men or doctors| = 24 = 23 + 4 - (male doctors), giving 3 male doctors, so women doctors = 4 - 3 = 1. Answer: 48 foreigners and 1 woman doctor.

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