1. Use the generating functions to model and find the solution for the following problem: In how many ways can we distribute 15 candies among 4 children, if each one should take at least 2 , the youngest child should not have more than 7 and the oldest one should take an even number? Resolve the equation. 2. Assume the relation R over the set {0,1,2,3,4,5,6,7,8,9} where (a,b)R if and only if a+b