4! = 24, they can be arranged in 24 different ways
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There are 4! or factorial(4) = 24 ways.
The answer is 4! which is equal to 1 x 2 x 3 x 4.
Since there are 4 letters, they can be arranged 4! ways (4*3*2*1) or 24 ways.
Here P and S are fixed, so 10 letters are left, out of which 2 are T'sSo, 10 letters out of which 2 are T's can be arranged in 10!/2! = 1814400 waysNow letters P and S can be arranged so that there are 4 letters between them, which can be done in 2*7 = 14 waysRequired no. of ways = 1814400 * 14 = 25401600
Using all letters? You have seven different letters, so you can rearrange them in 7! (read: seven factorial) different ways, that is, 1 x 2 x 3 x 4 x 5 x 6 x 7.