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- Aug 24th 2013, 07:45 AMdownthesun01Combination problem
- Aug 24th 2013, 08:31 AMMarkFLRe: Combination problem
We have 6 choices for the first pair, 5 choices for the second pair, and 4 choices for the odd die. Multiply this by the number of ways to choose 2 from 6, and divide by the different outcomes, hence:

- Aug 24th 2013, 09:08 AMdownthesun01Re: Combination problem
Please explain the 6 choose 2

Also,

The solution I was given is

It gives the same value as your solution, but I was hoping that you could offer some reasoning behind it? - Aug 24th 2013, 09:44 AMMarkFLRe: Combination problem
The 6 choose 2 represents the number of ways to choose the two pairs from the 6 different values of a die.

- Aug 24th 2013, 09:53 AMPlatoRe: Combination problem
Do you understand that there is no one correct way of doing this?

I would have done as

Now I can explain reasoning. The six choose 2 is the number of ways to have two pair.

The four is the number of ways to have the odd number out.

The numbers of ways to arrange is .