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If a school offers 9 different subjects how many schedules of 5 classes are possible?

We can use the combination formula to calculate the number of possible schedules. The combination formula is:

$$ C(n, r) = \frac{n!}{(n-r)! \cdot r!} $$

where:

n is the total number of items

r is the number of items to be selected

In this case, n = 9 (the number of subjects) and r = 5 (the number of classes in a schedule). So, the number of possible schedules is:

$$ C(9, 5) = \frac{9!}{(9-5)! \cdot 5!} = \frac{9!}{4! \cdot 5!} = 126 $$

Therefore, there are 126 possible schedules of 5 classes.

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