For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. 4. Given the equation v+w+x+y+z = 151, where v, w, x, y, and z are integers, how many different solutions does this equation have if…… 4.1...all the variables must be positive? 4.2 ...v > 5, w > 10, x > 15, y > 20, and z > 25?

If a1 = 5 and an = an-1 + 4 then find the value of a5

Write the number 240 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. (Enter the three numbers as a comma- separated list.)