Brunette college offers 4 44 math classes, 2 22 science classes, 3 33 language classes, and 5 55 art classes. sylvia needs to sign up for exactly one class in each subject. how many different combinations of classes does sylvia have to choose from?

The total number of different combinations of classes is 120.

Step-by-step explanation:  Given that Brunette College offers 4 math classes, 2 science classes, 3 language classes and 5 art classes. Sylvia needs to sign up for exactly one class in each subject.

We are to find the number of different combinations of classes does Sylvia have to choose from.

We will be using  the following formula for number of combinations of n elements taken r (r is less than or equal to n) at a time:

Since Sylvia needs to sign up for exactly one class in each subject, so the total number of different combinations from which she has to choose will be

Thus, the total number of different combinations is 120.

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step-by-step explanation:

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