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Solve probability word problems involving permutations

If you were starving while standing in line at a restaurant you would consider the outcome where you were first in line significantly better than if you were last in line. A permutation is an arrangement of objects in a certain order, and the possible permutations are the number of different ways those objects can be ordered differently. Constract this with combinations, where a different order of the same set of objects is considered the same outcome.

You can create two kinds of permutation problems with this generator. Permutations where the entire set of object is used are easier because they are simply the factorial of the number in the set. When only a subset of a larger set is used, a different equation needs to be used because the different combinations from the superset need to be taken into account.