How many different numbers can be made as the product of two or more of the numbers {3,4,4,5,5,6,7,7,7}?
If all the numbers in the set were prime, every product would be unique and I wouldn't have to worry about overlaps.
I am not sure how to account for the possible repeats?
How would I begin a problem like this? Any hints please?
Thanks for the very clear explanation! I have a very similar problem, but it deals with addition and I'm not sure how to account for this.
How many different positive integers can be obtained as a sum of two or more of the numbers
{1,3,5,10,20,50,82}
I don't have the primes to help me here.
Its not (7 choose 2) + (7 choose 3) + ... etc
I can already think of 1 repeat.
83 = 82 + 1 = 10+20+50+3