Source:MGMAT
Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark".
The actresses are Julia Robards, Meryl Strep, Sally Fieldstone, Lauren Bake-all and Hallie Strawberry. Assuming that no actress has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
What I want to know is how to solve this problem using combinatorics. The solution in the guide is helpful, but only for problems in which we are dealing with small numbers because what it suggests is to write out all the possibilities. First off, is this type of problem a combination problem or permutation? Second, how would it be solved if, say the numbers were different, perhaps 10 actresses (A,B,C,D,E,F,G,H,I,J) vying for spots in a 7 person film, what is the probability that A,C,E,G,and I star together?
Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark".
The actresses are Julia Robards, Meryl Strep, Sally Fieldstone, Lauren Bake-all and Hallie Strawberry. Assuming that no actress has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
What I want to know is how to solve this problem using combinatorics. The solution in the guide is helpful, but only for problems in which we are dealing with small numbers because what it suggests is to write out all the possibilities. First off, is this type of problem a combination problem or permutation? Second, how would it be solved if, say the numbers were different, perhaps 10 actresses (A,B,C,D,E,F,G,H,I,J) vying for spots in a 7 person film, what is the probability that A,C,E,G,and I star together?
