Answer:
720
Step-by-step explanation:
you would be using permutation i believe
because carpet has 6 letters you have six placement options
_x_x_x_x_x_
if you can only use the letters once
you can put all letters in p1
so 6x_x_x_x_x_
but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last
so 6x5x4x3x2x1
i might be wrong but this has worked for me