IS THIS A PERMUTATION OR COMBINATION?!! PLEASE HELP!!

Question

anonymous · Answer

how many 6 member hockey teams can be made form 12 players. if the goalie must be the same player every time

anonymous · Answer

i tried to set it up as 11C5 + 1 but is that right? i'm not even sure if it's a combination

kropot72 · Answer

If the goalie must be the same player in each combination, then we are left with 11 players choose 5.

anonymous · Answer

so i was correct?

anonymous · Answer

u have (12 ways to choose the same goalie) "AND" choose ( 5 others among 11)

anonymous · Answer

should i use a permutation because i don't think repetition can count in this case?

anonymous · Answer

someone please help me

ganeshie8 · Answer

$^{11}C_5$  is right

ganeshie8 · Answer

its clearly a combination cuz the order in which u select the players dont affect the team  :

team {a, b, c} 

is same as

team {b, a, c}

anonymous · Answer

so should i set this up as 

C(11,5) + 1

in order to account for the goalie?

ganeshie8 · Answer

good question :)
goalie is already selected, so u can forget about choosing goalie again

ganeshie8 · Answer

since the goalie is already selected,
your job is only to select 5 other players from the remaining 11 players

ganeshie8 · Answer

C(11, 5) 

is the final answer

anonymous · Answer

thank you so much!

ganeshie8 · Answer

you're welcome !