**Math mini-contest problem on D.Buzz for July 2021 [Day 1, Problem B]** ðŸ˜Ž

A player has 8 cards numbered 1, 2, 3, 4, 4, 5, 6, and 8, respectively. How many ways can that player create a set of 1 to 6 cards where the sum of numbers is *at most* 15?

Rules at https://peakd.com/@savvyplayer/official-rules-for-my-july-2021-3-day-math-mini-contest-for-d-buzz.