4!
Four factorial.
4 * 3 * 2
= 24 permutations
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Only one.
The word "numbers" consists of 7 distinct letters. The number of permutations of these letters is calculated using the factorial of the number of letters, which is 7!. Therefore, the total number of permutations is 7! = 5,040.
10 x 9 x 8 = 720 different "permutations"
There are 720 possible permutations.
Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.