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Q.

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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