Someone in our school asked this math question, saying it was a super hard riddle. Whoever solves it will be highly honored apparently. But I think this riddle makes no sense.
Can someone validate if this problem even makes sense?
Let S be the set of sequences of length 2018 whose terms are in the set {1,2,3,4,5,6,10} and sum to 3860. Prove that the cardinality of S is at most 23860 * (\(\frac{2018}{2048}\))2018
The problem makes sense. It's easy enough to visualize a sequence of length 2018 whose elements are in {1,2,3,4,5,6,10},
and whose terms sum to 3860. It's an integer partition problem.
How sensible the bound on the cardinality of the set of such sequences is will take some figuring.