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Number of non-empty subsets of {1,2,3,.....

Number of non-empty subsets of {1,2,3,..,12} having the property that sum of the largest and smallest element is 13.

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To solve the problem of finding the number of non-empty subsets of the set {1, 2, 3, ..., 12} such that the sum of the largest and smallest element in each subset is 13, we can follow these steps: ### Step 1: Identify pairs of smallest and largest elements We start by identifying pairs of elements from the set {1, 2, 3, ..., 12} whose sum equals 13. The pairs are: - (1, 12) - (2, 11) - (3, 10) - (4, 9) - (5, 8) - (6, 7)
To solve the problem of finding the number of non-empty subsets of the set {1, 2, 3, ..., 12} such that the sum of the largest and smallest element in each subset is 13, we can follow these steps: ### Step 1: Identify pairs of smallest and largest elements We start by identifying pairs of elements from the set {1, 2, 3, ..., 12} whose sum equals 13. The pairs are: - (1, 12) - (2, 11) - (3, 10) - (4, 9) ...
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