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# A radio show plays the top 10 musical hits of the previous week. During the first full week of last January, these 10 hits were chosen from 70 possibilities, and they were played in order of increasing popularity. How many possible orders were there? Note: Since calculators cannot evaluate large factorials, use the approximation given by the formula $n ! \approx \sqrt{2 \pi n}\left(\frac{n}{e}\right)^n$.

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We have a radio that plays the top $10$ musical hits. We have to determine how many possible orders were there. These hits were chosen from $70$ possibilities, and they were played in order of increasing popularity. We have to determine how many possible orders were there.

When we use combinations instead of permutations?

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