In a college library there are 5 distinct mathematics books and 4 distinct physics books
MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
In a college library there are 5 distinct mathematics books and 4 distinct physics books. Exactly two of the mathematics books and exactly one of the physics books are authored by Dr. Raman; the other books are by different authors. A bundle of 5 books is to be issued.
(i) Calculate the number of bundles that contain at most one book written by Dr. Raman.
(ii) If every 5-book bundle is equally likely to be issued, determine the probability that the chosen bundle meets the ‘at most one Dr. Raman book’ requirement.