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Three balls are drawn from a bag contain...

Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls. The number of ways in which this can be done, if atleast 2 are red, is.

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To solve the problem of drawing three balls from a bag containing 5 red, 4 white, and 3 black balls with the condition that at least 2 of the drawn balls must be red, we can break the problem into two cases: ### Step 1: Identify the Cases We need to consider two scenarios based on the condition of having at least 2 red balls: 1. **Case 1**: 2 red balls and 1 non-red ball. 2. **Case 2**: 3 red balls. ### Step 2: Calculate for Case 1 (2 Red Balls and 1 Non-Red Ball) ...
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