A problem asks to find all the possible echelon forms for:

3X + Y + 2Z = 7

2X + 2Y + 2Z = 6

2X + 4Y + 3Z = 8

I found one echelon form to be:

1 1/3 2/3 | 7/3

0 1 1/2 | 1

0 0 0 | 0

Are there up to 6 echelon forms when you reorder the variables?

Is the problem asking to find each echelon form for each reordering?

This is the exact working of the question