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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 .
The binomial expansion of and is given by:
The coefficients can be either calculated or found in row 3 of Pascal's triangle:\\$
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