Problem 1CE

This software determines whether the two permutations (1x) and (123 ... n) generate Sn for various choices of x and n. (That is, whether every element of Sn can be expressed as some product of these permutations. )For n = 4, run the program for x = 2, 3, and 4. For n = 5, run the program for x = 2, 3, 4, and 5. For n = 6, run the program for x = 2, 3, 4, 5, and 6. For n = 8, run the program for x = 2, 3, 4, 5, 6, 7, and 8. Conjecture a necessary and sufficient condition involving x and n for (1x) and (123 ... n) to generate Sn.

What is Nutrition -Study of food and how the body uses it to produce energy and build and repair itself Good Nutrition Essential nutrients, preventing dietary deficiencies, avoid overconsumption of calories, sugars, fats and sodium. Macro- -Build/maintain body tissue and provide energy -Carbs -Fats -Proteins Micro- -Smaller amounts -Cell functions -Vitamins -Minerals Water Carbohydrates: -main source of fuel for the brain -energy source for muscle contraction -4 calories of energy per gram -whole grains, pasta, fruits, veggies Simple carbs: (sugars) -glucose -glycogen -easier to break down and use for energy Complex carbs: -starch -fiber Fats -energy storage known as triglycerides -part of lipids -9 calories of energy per gram Fatty Acids: -Saturated: (solid room temperatur