# 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple,cheese and hazelnut croissants. How many ways are there to choose:a)dozen croissants?oneb) two dozen croissants?c)one dozen croissants with at least one of each kind?d)one dozen croissants with 2 plain, 1 cherry and at least 2 chocolate?

Question
Step 1

(a) The shop has 7 types of croissants.

So n = 7. To choose one dozen croissants, so r = 12.

Repetition of croissants are allowed.

Thus the number of ways are

Step 2

(b) The shop has 7 types of croissants.

So n = 7. To choose two dozen croissants, so r = 24.

Repetition of croissants are allowed.

Thus the number of ways are

Step 3

(c) The shop has 7 types of croissants.

So n = 7.

First select 1 of each kind, which are 7 croissants in total. Still need to select the re...

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