Eric's friend Dawn said that she could make a larger number of different designs with 15 tiles with Eric's 13 tiles. Do you agree with Dawn? Explain.

No, because you can't get 15 tiles when you have 13 tiles.

Hi! I'm Nita and i'm an stupid dumb girl so I don't know! :D

I agree with Leah Ashe because you actually can't get 15 tiles when you have 13 tiles. By the way Leah Ashe is stupid because it said "Fist Name" not first and last name.

To determine whether Dawn's claim is true, we need to compare the number of different designs possible with 15 tiles to the number of different designs possible with 13 tiles.

First, let's calculate the number of different designs possible with Eric's 13 tiles. To do this, we need to consider the concept of combinations. The number of combinations of objects taken from a set is given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n-k)!)

In this case, n represents the number of tiles available (13 in Eric's case), and k represents the number of tiles used to create a design.

For example, if Eric wants to use all 13 tiles for a single design, the number of combinations will be:

C(13, 13) = 13! / (13! * (13-13)!) = 1

This means there is only one design possible using all 13 tiles.

Now, let's consider the scenario with 15 tiles that Dawn has. The number of designs possible with 15 tiles will depend on how many tiles she wants to use for each design.

If she wants to use all 15 tiles for a single design, the number of combinations will be:

C(15, 15) = 15! / (15! * (15-15)!) = 1

So, there is also only one design possible using all 15 tiles.

However, if she wants to use less than 15 tiles for each design, then the number of designs will increase. For example, if she uses 14 tiles for each design, the number of combinations will be:

C(15, 14) = 15! / (14! * (15-14)!) = 15

This means there are 15 different designs possible with 14 tiles.

Therefore, if Dawn uses fewer than 15 tiles for each design, she will indeed be able to make a larger number of different designs compared to Eric's 13 tiles. Nevertheless, if she wants to use all her 15 tiles for each design, then the number of designs will be the same as Eric's 13-tile scenarios, that is, only one design. It ultimately depends on the number of tiles she plans to use for each design.