Assume you have 6 spots shown below:
_ _ _ _ _ _
In the first spot, you have 6 letters to choose from. In the second spot, you have 5 letters to choose from because you already used one. Similarly, in the remaining spots, you will have 4, 3, 2, and 1 letters to choose from. So you have 6 choices * 5 choices * 4 choices * 3 choices * 2 choices * 1 choice = 720 possibilities
The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.
6
The nine letters in chocolate can be rearranged in 362,880 different ways.
Six.
120 5x4x3x2x1
The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.
There are 10 letters is the word JOURNALISM. Since they are all different, the number of ways you can arrange them is simply the number of permutations of 10 things taken 10 at a time, or 10 factorial, or 3,628,800.
There are 4 distinguishable letters in the word fish, so there is 4! or 24 different ways can you arrange the letters in the word fish.
There are six different ways to arrange the letters XYZ... XYZ XZY YXZ YZX ZXY ZYX
6
No.
The nine letters in chocolate can be rearranged in 362,880 different ways.
There are 30 ways.
24 ways
Six.
120 5x4x3x2x1
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.