Please help!
The increasing list of five different integers {3, 4, 5, 8, and 9} has a sum of 29. How many increasing lists of five different single-digit positive integers have a sum of 33?
Thank you in advance! 
+128407 Going in reverse order
Note that the largest sum possible is
9, 8, 7, 6 , 5 = 35
So...there won't be too many of these !!!
9, 8, 7, 6, 3 = 33
9, 8, 7, 5, 4 = 33
No other sums = 33 utilizing 9, 8, 7 are possible
The next largest possible sum is
9,8,6,5,4 = 32
So....the only two lists I find are
3,6,7,8,9 and 4,5,7,8,9
