When three different numbers are chosen from the set {-3,-2,-1,4,5) and multiplies the greatest possible product is

1. We cannot pick both of the positive numbers 4 and 5 because the third one would be negative, and the overall product negative.

2. So we pick 5, the largest of (4, 5) and 2 negative numbers

3. Since the multiplication of the 2 negative numbers is positive, we pick the ones with larger absolute value, so - 3 and - 2

Answer: 5 * (-3) * (-2) = 5*6=30