Question

A box contains 10 balls out of which 3 are red and the rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same color?

Answer 1

Answer:

i) 1 red ball out of the three and 5 blue balls out of the seven.

(ii) 2 red ball out of the three and 4 blue balls out of the seven.

∴ Total number of ways in which a random sample of six balls can be drawn

=3C1×7C5+3C2×7C4=169

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Answer 2

Step-by-step explanation:

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