Rework problem 35 from the Chapter 2 review exercises in yourtext, involving auditioning for a play. For this problem, assume 13males audition, one of them being Karthikey, 7 females audition,one of them being Tiffany, and 5 children audition. The castingdirector has 4 male roles available, 2 female roles available, and1 child role available.
(1) How many different ways can these roles be filled from theseauditioners?
(2) How many different ways can these roles be filled if exactlyone of Karthikey and Tiffany gets a part?
(3) How many different ways can these roles be filled if at leastone of Karthikey and Tiffany gets a part?
(4) What is the probability (if the roles are filled at random) ofboth Karthikey and Tiffany getting a part?
