IIT-JEE Advanced 2022 Maths Paper 2 Problem 15

Problem

Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen?
A 21816
B 85536
C 12096
D 156816

Solution

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