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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 drawn at random and then transfered to other. The no. of ways in which this can be done is?

$\begin{array}{1 1} 2 \\ 36 \\ 66 \\ 108 \end{array}$

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2 balls from urn A can be drawn in $^3C_2=3 $ ways.
2 balls from urn B can be drawn in $^9C_2=\large\frac{9\times 8}{2}=$$36$ ways.
$\therefore $ the no of ways $=3\:and\:36=3\times 36=108$ ways.
answered Aug 9, 2013 by rvidyagovindarajan_1

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