Problem 4. (15%) There are two apples and four oranges. You would like to buy three of them, but at least one apple should be selected. Please show that how many choices you have. Please justify your answer. Otherwise, you get 0points.

Problem 8 (25%) Apply the Depth-First Search algorithm to find out the traversal order, where the vertex "a" is the start, and the vertices with lower adjacent weights should be visited first. Please justify your answer. Otherwise, you get 0 points. Hint: Use a stack.

Problem 4. (15%) There are two apples and four oranges. You would like to buy three of them, but at least one apple should be selected. Please show that how many choices you have. Please justify your answer. Otherwise, you get 0points.

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