Ask Question
29 June, 04:04

DJ Howard is making a playlist for a radio show; he is trying to decide what songs to play and in what order they should be played.

If he has his choices narrowed down to reggae, pop, and rock songs, and he wants to play an equal number of reggae, pop, and rock songs, how many different playlists are possible?

+3
Answers (1)
  1. 29 June, 07:14
    0
    The number of different playlists possible with order important = 1.9996 * 10¹³ ways = 2.00 * 10¹³ ways

    Step-by-step explanation:

    Selection problems in which the order matters are permutation problems.

    So, the choices are 4 reggae songs from 11

    4 pop songs from 12

    4 rock songs from 23

    number of ways = ¹¹P₄ * ¹²P₄ * ²³P₄ = 7920 * 11880 * 212520 = 19,995,921,792,000 = 1.9996 * 10¹³ ways
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “DJ Howard is making a playlist for a radio show; he is trying to decide what songs to play and in what order they should be played. If he ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers