MHT CET 2022 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2022

A bag contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at most 2 of them are red is

Answer: (D)

Solution

Total marbles , so unrestricted selections of 4 are . "At most 2 red" excludes 3 red and 4 red. Exactly 3 red: (the fourth marble is from the 7 non-red). Exactly 4 red: .

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Question ID VK-093577