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JEE Main2010MathematicsPermutation and CombinationActual

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

Options

  1. A36
  2. B66
  3. C108
  4. D3

Correct answer

C. 108

Step-by-step solution

Total number of ways = ^3 C ₂ ^9 C ₂ =3 9 8 2 =3 36=108

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