determine the number of ways arranging the letters in the word handle if there are no restrictions?
any of the six can be first, any of the remaining five can be second...
6!
What is your school subject for this question?
To determine the number of ways of arranging the letters in the word "handle" with no restrictions, you need to calculate the number of permutations.
The word "handle" has 6 letters. To find the number of ways to arrange these letters, we can use the formula for permutations of n objects of which p are of one kind, q are of another kind, r are of another kind, and so on. The formula is:
n! / (p! * q! * r! * ...)
In this case, all the letters in "handle" are different, so we have:
6! / (1! * 1! * 1! * 1! * 1! * 1!)
Simplifying this expression:
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
Therefore, there are 720 ways to arrange the letters in the word "handle" when there are no restrictions.