JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 professors containing at least 3 engineers and at least 1 doctor, is

Answer: (4)

Solution

Sum over valid combinations of engineers, doctors, professors divided by gives

Question ID VK-002726