MBA
Exam
A bag contains 9 blue cards numbered 1, …, 9 and 9 yellow cards numbered 1, …, 9. In how many ways can we choose 9 out of the 18 cards so that there are exactly 3 jugalbandis, where a jugalbandi means a blue card and a yellow card with the same number?
1) <sup>9</sup>C<sub>3</sub>× 12 × 10 × 8
2) <sup>9</sup>C<sub>3</sub> × <sup>6</sup>C<sub>3</sub> × 2<sup>3
</sup>
3) <sup>9</sup>C<sub>3</sub> × <sup>12</sup>C<sub>3
</sub>
4) <sup>9</sup>C<sub>3</sub> × <sup>6</sup>C<sub>3
</sub>
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