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If the ordering of the 10 songs counts (e.g., a,b,c is counted as a different combination from b,c,a) then the number is

1471 * 1470 * ... * 1462 = 4.6005774 * 10^31

If the ordering of each set of 10 songs is not counted, then the number of combinations is the above number divided by 10!, which is 1.267796 * 10^25.

In general, the number of different ways to choose n things out of N objects where order does not matter is: N! / [n! * (N-n)!)]. If n were larger, such as choosing 500 songs out of 1471, you would have to use Sterling's approximation.

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