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How many ways are there to choose 24 croissants with at least five chocolate croissants and at least three almond croissants?

a) 35

b) 120

c) 210

d) 5040

1 Answer

2 votes

Final answer:

To solve this problem, we can use combinations. Choose 5 chocolate croissants and 3 almond croissants first. Then consider the remaining croissants.

Step-by-step explanation:

To solve this problem, we can use combinations. We need to choose 24 croissants with at least 5 chocolate croissants and at least 3 almond croissants. Let's consider two cases:

Case 1: Choose 5 chocolate croissants and 3 almond croissants first. This leaves us with 24 - 5 - 3 = 16 more croissants to choose. We can choose these 16 croissants in any way.

Case 2: Choose more than 5 chocolate croissants and/or more than 3 almond croissants. In this case, we have more than 16 croissants to choose.

Therefore, the number of ways to choose 24 croissants with at least 5 chocolate croissants and at least 3 almond croissants is the sum of the ways in Case 1 and Case 2.

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