Final answer:
To find the different combinations of a dozen donuts with at least one glazed, one chocolate, and one jelly donut, we can use the concept of combinations.
Step-by-step explanation:
To find the different combinations of a dozen donuts, we can use the concept of combinations. Since we need at least one glazed, one chocolate, and one jelly donut, we can subtract these three from the total number of donuts. In this case, we have 9 remaining donuts to choose from. We can calculate the number of combinations using the formula:
C(n-r+r-1, r-1)
Where n is the total number of donuts and r is the number of different types of donuts. Applying this formula, we have:
C(9+3-1, 3-1) = C(11, 2) = 11! / (2! * (11-2)!) = 55.
So, Kayleigh can create 55 different combinations of a dozen donuts with at least one glazed, one chocolate, and one jelly donut.
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