There are 3,628,800 ways to arrange those letters. See explanation for details.
Explanation:We can solve this task in 2 ways:
We can choose 1 letter at a time and see in how many ways can it be chosen.First letter can be chosen from all 10, next from 9, third from 8 and so on until you have only one letter left.
So the number of ways to arrange the letters can be calculated as:
n=10×9×8×7×6×5×4×3×2×1=3,628,800
Other way can be to treat the possible arrangement as a permutation of 10 element set. The number of permutations can be calculated as:Pn=n!=1×2×...×n
