Q.

There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn, two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is

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a

108

b

3

c

36

d

66

answer is A.

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Detailed Solution

Number of ways to choose,2 red balls from urn A, out of 3 distinct red balls = C2  32 blue balls from urn B, out of 9 distinct blue balls = C2  9Total number of ways=3C2×9C2                                   =3×9×82=3×36=108
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There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn, two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is