CEMC Pascal, 2009

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

The increasing list of five different integers $\{3, 4, 5, 8, 9\}$ has a sum of 29. How many increasing lists of five different single-digit positive integers have a sum of 33?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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