Question

Julia has 3 hand bags in her closet in how many ways can the bags be arranged

Answer 1

There are 6 ways the bags can be arranged.

Step-by-step explanation:

The number of ways the bags can be arranged is equal to the number of permutations of the bags. In this case, Julia has 3 handbags in her closet, so we need to find the number of permutations of 3 objects taken from a set of 3. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.

Plugging in the values, we get 3P3 = 3! / (3-3)! = 3! / 0! = 3 x 2 x 1 / 1 = 6.

Therefore, there are 6 ways the bags can be arranged.

Answer 2

This is the concept of combinations and factorials:
the number of ways 3 bags can be arranged in the closet is given by:
3!
=3×2×1
=6 ways
thus the bags can be arranged in 6 different ways.