The best way to think of this is how many options there are for each letter. There are 7 possibilities for the first letter. Then there are 6 possibilities (out of the remaining letters) for the second latter. Then 5 possibilities for the next, and so on. The total number of possibilities will be 7x6x5x4x3x2x1, which equals 5,040. So there are 5,040 different ways to arrange 7 letter words.
It is 6!/3! = 6*5*4 = 120 ways
8! = 40320 ways.
There are 30 ways.
There are 40,320 ways to arrange eight letters. In this case, around sixty of those ways will result in English words.
24
Six.
362,880 ways
120 different ways.
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
you can arrange 8 pictures 28 different ways
Since the letter of the word COMPARE are distinct, i.e. none of them repeat, then the number of different way you can arrange them is simply the number of permutations of 7 things taken 7 at a time. That is 7! or 5040.
The answer depends on how many letter tiles you have and which letters are on those tiles.
15
You can arrange and rearrange the word as many times as you like!There are 5040 different ways.
8
you can arrange three beads 9 different ways.
24 different ways (4! = 4 x 3 x 2 x 1)