Number of subsets

Probability Level pending

Let a a and b b be the elements of the two sets A A and B , B, respectively. Find the number of ordered pairs ( a , b ) ( a, b ) when A A and B B satisfy the following two conditions:

1. 1. Both A A and B B are subsets of the set { 1 , 3 , 5 , 7 , 9 , 11 } . \left\{1,3, 5,7,9,11\right\}.
2. 2. A B = { 1 , 3 , 5 } . A - B = \left\{ 1, 3, 5 \right\} .


The answer is 27.

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