Rchel has 14 red, 9 blue, and one yellow towel. In haw many ways can the towels be arranged if the towels of the same colour must be side by side?

24!/(14!9!1!)

56hrb

what is 2 yellow 3 red 5 blue towels what is the ratio to blue towels t yellow and red

To solve this problem, we can treat each set of towels of the same color as a single unit. This means that we have three units: one unit with 14 red towels, one unit with 9 blue towels, and one unit with 1 yellow towel.

Now, let's consider the number of ways we can arrange these units. Since the red towels must be together, we can treat the unit of 14 red towels as a single object. Similarly, we can treat the unit of 9 blue towels as a single object, and the unit of 1 yellow towel as a single object.

So, we now have three groups: one group with the unit of 14 red towels, one group with the unit of 9 blue towels, and one group with the unit of 1 yellow towel. These groups can be arranged in any order.

Since there are three groups, there are 3! (3 factorial) ways to arrange them. Recall that the factorial of a number means multiplying the number by all the positive integers less than it. So, 3! = 3 x 2 x 1 = 6.

Therefore, there are 6 ways to arrange the three groups of towels.