Please use Mathematica Software to solve the following:

Let S be the set of all numbers having the form Vn + m +p wheren, m, p are integers in the range [0, 15]. 1. How many elements are there in S? (i.e. how many of these numbers are distinct?) 2. If the elements of S are listed in descending order, what is the 500th element in the list? Give your answer in exact value. 3. For each of l = 0, 1, 2, ..., 20, find the number of ways that I can be written in the form Vn + m +p where n, m, p are integers in the range [0, 15]. For example, 19 can be written as V9 + V8 + 14 +, V9 + V1 +15, and V4 + 8 + 15 (exactly 3 ways). Give your answer as a list {no, ni, n20} where n, is the number of ways I can be written in the given form. Let S be the set of all numbers having the form Vn + m +p wheren, m, p are integers in the range [0, 15]. 1. How many elements are there in S? (i.e. how many of these numbers are distinct?) 2. If the elements of S are listed in descending order, what is the 500th element in the list? Give your answer in exact value. 3. For each of l = 0, 1, 2, ..., 20, find the number of ways that I can be written in the form Vn + m +p where n, m, p are integers in the range [0, 15]. For example, 19 can be written as V9 + V8 + 14 +, V9 + V1 +15, and V4 + 8 + 15 (exactly 3 ways). Give your answer as a list {no, ni, n20} where n, is the number of ways I can be written in the given form