Find the number of subsets of \{1,2,3, \ldots, 10\} that contain exactly one pair of consecutive integers. Examples of such subsets are \{\mathbf{1}, \mathbf{2}, 5\} and \{1,3, \mathbf{6}, \mathbf{7}, 10\}.
Find the number of subsets of \{1,2,3, \ldots, 10\} that contain exactly one pair of consecutive integers. Examples of such subsets are \{\mathbf{1}, \mathbf{2}, 5\} and \{1,3, \mathbf{6}, \mathbf{7}, 10\}.