Dj Titus is making a playlist for a radio show, he is trying to decide what 10 s

Question

Dj Titus is making a playlist for a radio show, he is trying to decide what 10 songs to play and in what order they should be played. If he has his choice narrowed down to 7 blues, 7 disco, 5 pop, and 7 reggae songs, and he wants to lay all 5 pop songs, how many different playlist are possible? Express your answer in scientific notation rounding to the hundredths place. Dj Titus is making a playlist for a radio show, he is trying to decide what 10 songs to play and in what order they should be played. If he has his choice narrowed down to 7 blues, 7 disco, 5 pop, and 7 reggae songs, and he wants to lay all 5 pop songs, how many different playlist are possible? Express your answer in scientific notation rounding to the hundredths place.

Explanation / Answer

Since all 5 pop songs should be played, the remaining 5 songs can be selected in (7+7+7)C5 ways or 21C5 ways.

21C5 = 20349.

Once the 10 songs are selected, they can be ordered in 10! ways.

=> Total number of orderings = 10! * 20349

= 73842451200

= 7.3842451200 * 1010

= 7.38 * 1010.

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