BrentGMATPrepNow
Mahmoudfawzy83
but is there a faster way?
Nice work - kudos to you!!
I don't believe there's a faster solution. In fact, I created the question to highlight the fact that, when it comes to counting questions, many students are reluctant to simply
list and count the possible outcomes.
In this case, all 5 answer choices are relatively small, so we can be sure that it won't take long to list and count the outcomes.
That said, even when the answer choices are large, listing possible outcomes can often lead to useful insights regarding the correct answer.
----------------------
I think that there is one quick way. Correct me if I'm wrong! So, there are 4 and 5 numbers in a set! So... maximum possible values of P is 4C1 x 5C1 = 20. Now, we need to delete the double counted values. Numbers 4 and 5 are common in both sets. If these were different numbers and we count possible of values of P... with only 2 in each set... then a total of 8 different values of P is possible. But, these numbers .. 4 and 5 of first set and 4 and 5 of second set are the same. So, products will be repeated. So, among 8 possible P values... 4 P value are genuine and 4 are repeated. So, answer is (Total Possible - Repeat) = 20 - 4 = 16.