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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
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The correct answer is:
108
108
Total number of ways $={ }^3 \mathrm{C}_2 \times{ }^9 \mathrm{C}_2$
$$
=3 \times \frac{9 \times 8}{2}=3 \times 36=108
$$
$$
=3 \times \frac{9 \times 8}{2}=3 \times 36=108
$$
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