I have the following problem.

I have 7 dies and if i roll exactly three 6's i win.

I've tried to calculate the possibility but i get different results depending on the method.

First method:

Look at each dice and calculate the following:

(1/6)^3 * (5/6)^4 = 0,00223

Second method:

Look at the number of permutations with 7 dies (with repetition):

6^7 = 279936

Look at how many permutations you can make when choosing 3 out of 7 (with repetition):

7^3 = 343

343/279936 = 0,00122

am i way off or am i missing something?

/ztyL