The word robber has 6 letters. To find out the number of distinct ways the letters can be arranged, we can use the formula for permutations of n objects taken r at a time, which is:
P(n,r) = n! / (n-r)!
Where n is the total number of objects, and r is the number of objects taken at a time. In this case, n = 6 (the number of letters in the word robber), and r = 6 (since we are arranging all 6 letters).
So, using the formula, we get:
P(6,6) = 6! / (6-6)!
= 6! / 0!
= 6 x 5 x 4 x 3 x 2 x 1 / 1
= 720
Therefore, there are 720 distinct ways the letters of the word robber can be arranged.
i hope this helps!