Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all…

Mathematics · JEE Advanced · NTA ExamsPermutations and Combinations

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?
  1. 21816
  2. 85536
  3. 12096
  4. 156816

Answer

(B) 85536

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