Mathematical notation is important for conveying mathematical ideas. For instance, consider the sum of the first n positive integers. This can be written as 1 + 2 + 3+ ...+n More concisely, we can also express this using the summation notation: summation_i=1^n i For each of the following, provide two ways of expressing it similar to the example given above: the sum of the first n positive odd numbers. the product of the first n positive even numbers. the sum of the first n positive perfect squares. the equivalent of s in the following C++ program: Problem 2 Is it possible to come up with two graphs that have the same number of edges but different set of degrees? If yes, show an example, if no, explain why. Is it possible to come up with two graphs that have the same set of degrees but different number of edges? If yes, show an example, if no, explain why. Problem 3: Permutations We have seen in class that the number of permutations on n objects is n!. Explain this result by making use of the multiplication rule. State clearly what the stages are, and in how many ways each stage can be carried out