I just had this question on one of my quizzes and I have tried to do the question.

So, we have 4 types of dogs on the day of the photoshoot, **1** golden retriever, **1** german shepherd, **4** chihuahuas and **4** Dachshund.

There are 10 seats at the photoshoot.

Q1 - How many ways to arrange the seat for the dogs

**10 seats = 10! = 3628800**

Q2 - How many ways to arrange the seat if the dachshunds need to sit together (Ex. xxDDDDxxxx)

**Counting 4 dachshunds as 1 item, [DDDD]xxxxxx, therefore there are 7! = 5040 arrangements where the dachshunds sit together.**

Maybe it is the wording of the question that is bugging me that something is not right.

If someone could check this for me and provide further examples that would be really helpful