Maths Question

[astonville]

My granddaughter sent me this Maths teaser from Canada: How many different teams of 5 players can be picked from 8 players?
Then how many different ways can you pick a team of 2 guards, 1 centre and 2 forwards? I have an answer, but not sure about it. Thanks from a puzzled grandma.

[Old_Geezer]

Unsure I understand the second bit. 2 guards, 1 centre and 2 forwards is a team of 5. Do we assume all players are capable of playing in all positions ? How does it differ from the first part ?

The first part should be known to me but it's been too long since secondary school. Something else to exercise my brain with.

[gen2]

First part: ( 8 * 7 * 6 * 5 * 4 ) / ( 5 * 4 * 3 * 2 * 1 ) = 56

Second part depends how many guards, centres and forwards are in the pool

[factor-fiction]

Duplicate post:
http://www.theanswerb.../Question1074077.html
It often confuses things when you post something twice- some answer one thread and some answer the other. It also means you have to clarify things on two threads.
I suggest you'll get a better thread if you close one down (say "no more replies please- go to this one.....")

[factor-fiction]

It looks to me like two separate questions.

The answer to the second question depends on how many guards, centres and forwards there are in the initial group of 8.

[Old_Geezer]

Can confirm 56. I cheated and made a table in a spreadsheet, worked out how many of all possible play/no play conbinations came to 5 players :-O