I am having a hard time with a homework assignment, can anyone steer me in the right direction? Here is the question:
7 winners for a door prize will be selected at random, without replacement, from a list containing 7 men and 5 women.
a) How many different sets of seven winners can be selected for the door prize?
b) How many different sets of seven winners consisting of 4 men and 3 women can be selected for door prizes?
c) How many different sets of seven winners consisting of more men than women can be selected for door prizes?
I have a class handout and I've read the entire chapter, but I'm perplexed on how to even begin this problem. The aspect that is confusing me is the fact that a 3rd variable, the 7 winners is included, rather than just the different sets of 7 men and 5 women.
Any help would be greatly appreciated...thanks!
7 winners for a door prize will be selected at random, without replacement, from a list containing 7 men and 5 women.
a) How many different sets of seven winners can be selected for the door prize?
b) How many different sets of seven winners consisting of 4 men and 3 women can be selected for door prizes?
c) How many different sets of seven winners consisting of more men than women can be selected for door prizes?
I have a class handout and I've read the entire chapter, but I'm perplexed on how to even begin this problem. The aspect that is confusing me is the fact that a 3rd variable, the 7 winners is included, rather than just the different sets of 7 men and 5 women.
Any help would be greatly appreciated...thanks!