#### SophieFred316

##### New member

- Joined
- Mar 5, 2018

- Messages
- 2

*H*

*ello everyone, I am looking for some help with the following math problem.*

*A dorm floor consisting of 20 people wish to make up a hockey team.**a) In how many ways can you choose 12 people from the 20 people on your dorm floor to make up a hockey team?*** I think for this question I should use combinations -***20C12 = 125,970 ways. However please correct me if I am wrong.**

b) For the first name, you must assign 6 out of the 12 people on your team to be forwards, 4 to be defense and 2 to be a goalie. In how many ways can you do this?

Would it be 12C6* 6C4 * 2C2 = 13,860 WAYS?

C) The team decides they want 4 captains with at least one of the captains being a goalie.How many ways can a group of 4 captains with at least one goalie be drawn?

I am not sure how to approach this one.

Thank you!!!!b) For the first name, you must assign 6 out of the 12 people on your team to be forwards, 4 to be defense and 2 to be a goalie. In how many ways can you do this?

Would it be 12C6* 6C4 * 2C2 = 13,860 WAYS?

C) The team decides they want 4 captains with at least one of the captains being a goalie.How many ways can a group of 4 captains with at least one goalie be drawn?

I am not sure how to approach this one.

Thank you!!!!

Last edited: