Assignment:
Q1. A baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
Q2. Susan has a fondness for chocolate desserts, in particular, pudding, pie, ice cream, éclairs, and cookies. Her preference is for ice cream over pie and cookies, éclairs over ice cream and cookies, cookies over pudding and pie, and pudding over éclairs, with no other preferences. Draw a directed graph to represent this situation.
Q3. Individual membership fees at the Evengreen Tennis Club were $50 in 1970 and have increased by $3 per year since then. Write a recurrence relation and initial conditions for Mn, the membership fee n years after 1970.
Provide complete and step by step solution for the question and show calculations and use formulas.