One is looking to invest 15 thousand dollars among 5 opportunities. Each investment should be an integral in units of 500 dollars. A portfolio corresponds to an investment policy. For example, (5,6,3,6,10) is a portfolio that invests 5 units in the first opportunity, 6 units in the second, 3 units in the third, 6 units in the fourth and 10 units in the fifth opportunity. (0,14,8,8,0) is another portfolio in which no investment is made in the first and fifth opportunities. The total number of portfolios is:

Question

One is looking to invest 15 thousand dollars among 5 opportunities. Each investment should be an integral in units of 500  dollars. A portfolio corresponds to an investment policy. For example, (5,6,3,6,10) is a portfolio that invests 5 units in the first opportunity, 6 units in the second, 3 units in the third, 6 units in the fourth and 10 units in the fifth opportunity. (0,14,8,8,0) is another portfolio in which no investment is made in the first and fifth opportunities. The total number of portfolios is: