Hi I'm not very sure about this question from SMO.
There are 674 apples, 674 oranges and 674 pears to be packed into 2 boxes such that both boxes contain 3 types of fruits and the products of the number of apples, oranges and pears in both boxes are the same. Determine the number of ways that this can be done.
So i just wrote abc=(674-a)(674-b)(674-c) and i tried to expand it out and got abc=337(ab + bc + ac), or something like that. Not really seeing how this is going. Can someone give me a hint on how to start this question at least? Thank you.