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How many subsets of {1,2,3,4,5,6,8,10,15} are there for which the sum of the elements is 15.

Guest Oct 26, 2018

#1
+2742
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12

$$\left( \begin{array}{c} \{15\} \\ \{5,10\} \\ \{1,4,10\} \\ \{1,6,8\} \\ \{2,3,10\} \\ \{2,5,8\} \\ \{3,4,8\} \\ \{4,5,6\} \\ \{1,2,4,8\} \\ \{1,3,5,6\} \\ \{2,3,4,6\} \\ \{1,2,3,4,5\} \\ \end{array} \right)$$

Rom  Oct 26, 2018
#1
+2742
0

12

$$\left( \begin{array}{c} \{15\} \\ \{5,10\} \\ \{1,4,10\} \\ \{1,6,8\} \\ \{2,3,10\} \\ \{2,5,8\} \\ \{3,4,8\} \\ \{4,5,6\} \\ \{1,2,4,8\} \\ \{1,3,5,6\} \\ \{2,3,4,6\} \\ \{1,2,3,4,5\} \\ \end{array} \right)$$

Rom  Oct 26, 2018