Explanation:
There are 720 ways to arrange the letters in the word GRIFFIN.
To see why, we can use the formula for permutations of a set with n elements, which is n! (n factorial).
The word GRIFFIN has 7 letters, so we have:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
However, since the letters in GRIFFIN are not all unique (there are 2 Fs and 2 Is), we need to divide by the number of ways the repeated letters can be arranged. This is the product of their factorials:
2! x 2! = 4
So the final answer is:
7! / (2! x 2!) = 5040 / 4 = 720
Examples of different arrangements of the letters in GRIFFIN are:
- FIGRINF
- IRGIFNF
- NGRIFFI
- IFRIGNF
- GFRINIF
- NRIGIFF
- FFIRIGN
And so on, for a total of 720 possible arrangements.
Does this answer your question.