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 ___________.

Question

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 ___________.,

MARKS App · Accepted Answer

We have, 5 red, 4 black, 3 white marbles Required number of ways = C 0 5 × C 4 7 + C 1 5 × C 3 7 + C 2 5 × C 2 7 + C 3 5 × C 1 7 ​ = 35 + 175 + 210 + 70 = 490

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