6
The answer is 5 factorial or 5*4*3*2*1 or 120
4
11 times
Since no letters are repeated in the word prime, you can arrange the letters in the word prime 5! ways, or 120 ways.
6 -- abc, acb, bac, bca, cab, cba
6
This is a simple math permutation. the answer is 6 factorial which means 6 * 5 * 4 * 3 * 2 * 1 (aka 720)
6 to the power of 6 so 6x6x6x6x6x6=46,656
The answer is 5 factorial or 5*4*3*2*1 or 120
6
6! = 720
3*2*1 = 6 ways.
30 ways.
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
The word "onomatopoeia" has 11 letters, with 6 vowels and 5 consonants. Therefore, there are 11!/(6!5!) = 33,120 ways to arrange the word "onomatopoeia".
This is a Permutation problem; nPr is the formula which assumes order matters. You have n=6 & r=3. Formula is: 6! / (6-3)! or 6!/3! = 120.