Q56 / 90 · JEE Main 2010 · Mathematics

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

A
36
B
66
Correct answer
C
108
D
3

Solution

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

Hence, the correct answer is option: 'C'.

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