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DJ Nadia is making a playlist for work; she is trying to decide what 10 songs...

DJ Nadia is making a playlist for work; she is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If she has her choices narrowed down to 7 blues, 7 disco, 4 pop, and 5 rock songs, and she wants to play no more than 3 disco songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.

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