How many distinct permutations can be formed using the letters of the word “STATISTICS”?
The word "STATISTICS" has 10 letters.
In general, if a word has n letters, then the number of distinct permutations is given by n!.
For the word "STATISTICS," we have:
n = 10
Therefore, the number of distinct permutations is:
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = <<10*9*8*7*6*5*4*3*2*1=3628800>>3,628,800
Thus, there are 3,628,800 distinct permutations that can be formed using the letters of the word "STATISTICS."