can someone show me step by step??

Question

The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like. How many different possible mixtures can you make now (remember, you have 13 flavors available to you and you must choose 6)? leave your answer in exponential or factorial form. show your work

II.) You realize that, despite what you expected, the soda actually tastes different depending on which flavor you choose first, second, etc. With this in mind, how many different sodas can you make if repetition is not allowed? Show your work and leave your answer in exponential or factorial form.

Answer 1

The first one is still 13C6
Review the definition of combinations to see the factorial form

Now you have 13P6
Note that 13C6 = 13P6 / 6!

Answer 2

is the answer 10,296?