There are 24.
Only one.
There are 6! = 720 permutations.
If you mean permutations of the letters in the word "obfuscation", the answer is 1,814,400.
24
4! Four factorial. 4 * 3 * 2 = 24 permutations ------------------------
There are 9,979,200
tt
quiet
cat
The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.
2520
There are 7893600 permutations.