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There are two urns. Urn A has 3 distinct...

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

C

108

D

109

Text Solution

Verified by Experts

The correct Answer is:
C
Total number of ways=`.^(3)C_(2)xx.^(9)C_(2)=.^(3)C_(1)xx.^(9)C_(2)=3xx(9xx8)/(1xx2)`
`=3xx9xx4=108`
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