Combinations in hockey

[Jack Dough]

Need help setting this up, or figuring it out.

If a coach has nine forwards (3 left wings, 3 centers, and 3 right wings), how many different combinations of forwards can he use when making up his 3 lines (each consisting of a different LW, C, RW)?

Left Wings: A, B, C
Center: D, E, F
Right Wing: G, H, I

example of 3 different combinations:
ADG/BEH/CFI
ADH/BEI/CFG
ADI/BEH/CFG


help???

 

[galactus]

I know nothing of hockey, but if I am interpreting correctly, there are 3 choices from each forward (whatever that is).

So, \(\displaystyle 3\cdot 3\cdot 3\)

 

[Jack Dough]

Don't think that's right tho....

I've come up with 36 different combinations manually:

...and I don't see any duplications.

It may be easier to view as:

...where each column must contain a 1, 2 & 3.

I just don't know why it's 36...if it indeed is 36.

 

[Deleted member 4993]

Denis is the hockey guy...

In field-hockey - Galactus's answer would be correct - because you can field only one combination of LW/CF/RW.

Then again I don't know nutting about a savage game like ice-hockey .... and I am in the corner....

 

[Denis]

Then again I don't know nutting about a savage game like ice-hockey ....

Well, it's so cold up here we need a rough game to keep warm :wink:

Depends if these 2 (as example) are considered different:
L1 C1 R1
L2 C2 R2
L3 C3 R3**

L1 C1 R2
L2 C2 R1
L3 C3 R3**

**Like, can the same "1 line" be in 2 cases...