Greetings,
I am currently struggling on this question:
"A team has to be selected in the following way:
- 5 players
- at least 2 men and at least 2 women
- there are 12 men and 7 women"
i) How many ways can the team be selected?
I think this is just C(12,3)*C(7,3) + C(12,3)*C(7,2)
ii) The team must now also include 3 players of height greater than 7ft.
5 males and 1 female have height satisfying this.
How many ways can we pick this?
My method so far is:
2 tall males, 1 tall female, 2 females
2 tall males, 1 tall female, 1 female, 1 male
3 tall males, 2 females
(5,2)*(1,1)*(6,2) + (5,2)*(1,1)*(6,1)*(10,1) + (5,3)*(7,2)
Thanks for any help,
combinatorixxx