17. Every week, Colin mows the lawn, edges the lawn, and pulls the weeds. List all the possible orders in which he can take care of the yard.
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Colin has three tasks to complete in the yard: mowing, edging, and pulling weeds. The number of different orders he can perform these tasks is calculated using permutations. Since there are three tasks, the number of possible orders is 3! (3 factorial), which equals 6. The orders are: 1) Mow, Edge, Pull Weeds; 2) Mow, Pull Weeds, Edge; 3) Edge, Mow, Pull Weeds; 4) Edge, Pull Weeds, Mow; 5) Pull Weeds, Mow, Edge; and 6) Pull Weeds, Edge, Mow. Think of it this way: think of the tasks as three unique colored balls that Colin can arrange in different ways! Each arrangement gives him a fresh perspective on his yard care routine, making the chore feel like a simple yet fun puzzle to solve each week!
