Question

Question #9742e

Answer 1

See a solution process below:

Explanation:

First, there are no letters repeated in the word "factor" therefore there will be no repetition.

Second, there are 6 letters in the word "factor" so we can find the number of ways to arrange them by:

For the first letter there are 6 letters you can choose from:

`6`

For the second letter there are 5 letters you can choose from so you now have for possibilities;

`6 xx 5 = 30`

For the third letter the are 4 letters left to choose from so you now have for possibilities:

`6 xx 5 xx 4 = 30 xx 4 = 120`

Continuing this same process for all 6 letters gives:

`6 xx 5 xx 4 xx 3 xx 2 xx 1 = 30 xx 12 xx 2 = 360 xx 2 = 720`

There are 720 ways to arrange the 6 letters in "factor"