/sci/ - Science & Math

Anyone able to help with this? My first approach was to think of all the different sums you can make with elements from A. I concluded that with the "first" element of A you can make 19 distinct sums, with the second you can make 18, etc. If you look at how many distinct sums that is it's 190. That certainly sounds significant, pigeonhole-wise, but there are 375 distinct sums that can be made with all the integers from 1 to 189 (1+2, 188+189, and all the numbers in between), which is more than 190.

Tell me where I'm being retarded