[SAJ]

Sorry, Teach, you fail. If you're going to make a list of the serial OUTCOMES of a series of rolls, a 5 may occur as the outcome of any roll. SERIAL OUTCOMES with exactly one 5 in 6 rolls would be:

5 N N N N N
N 5 N N N N
N N 5 N N N
N N N 5 N N
N N N N 5 N
N N N N N 5

where N is some non-5 outcome of a roll...thus... ...exactly 6 such serial outcomes. Your list confuses permutations with combinations, ok?

[Teacher317]

I don't like failing, LOL... and I think you misunderstand both his question and my answer.

You are right, however... if looked at as a serial outcome, and he only cares about exactly one "five" and the other five results must all be non-fives, then there are only 6 outcomes out of 46656 outcomes: one where the sole five is in the first slot, the second, the third, etc.