Use generating functions to determine the number of differentways 12 identical action figures can be given to fivechildren so that each child receives at most three actionfigures.

Twenty children are to be divided into an X team and a Y team of 10 each. The X team will play in one league and the Y team in another. How many different divisions are possible?

In the provided table, the education information and incomes of 73,736 people are given. The rows are labeled with education status and the columns are labeled with income range. The total of all entries in each row gives the total number of people with the corresponding education status and similarly, the total of all entries of a particular column gives the number of people with the corresponding income range. Please answer subpart 4 and 5.

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.)