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Can someone please explain how to solve this question?

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by abuc0112 » Sat Aug 27, 2011 8:55 pm
A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 13}

Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
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by snakedoc » Sun Aug 28, 2011 1:54 am
Since the sets are small,Just by observation we can say 12 is the only product which repeats...3,4 and 2,6 so number of distinct products will be 5*4 -1=19

I don't see any other method for this.
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by gmatboost » Sun Aug 28, 2011 10:09 pm
To be a bit more specific, we know that repetitions can only involve numbers whose prime factors are also in the other set.

That means that no repetitions will include 5, 7, 11, or 13 (because each of these prime numbers only appears in one of the sets).
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