An urn 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 the most three of them are red is _

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answer is 490.

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Detailed Solution

0 Red, 1Red, 2Red, 3Red Numebr of ways C4 7+C1 5·C3 7+C2 5·C2 7+C3 5C1 7=35+175+210+70=490

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