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a htpslearn.hawkeslearning.com/Portal/Lesson/lesson certify O Save & End Certify Lesson: 4.5 Combining Probability and Cou... 9/15 Correct Question 9 of 11, Step 1 of 2 2 Dj ill s making a playlist for work: she is trying to decide what 12 songs to play and in what order they should be played. Step 1 of 2: If she has her choices narrowed down to 3 jazz, 6 blues, 7 disco, and 5 country 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 Answer 0 Subinit Answer 0 2018 Hawkes Learning Type here to search

Explanation / Answer

Total number of songs = 3+6+7+5 = 21( 7 disco and 14 non disco)

Number of ways with 0 disco songs = (7C0)*(14C12) = 91

Number of ways with 1 disco songs = (7C1)*(14C11) = 7*364 = 2548

Number of ways with 2 disco songs = (7C2)*(14C10) = 21*1001 = 21021

Number of ways with 3 disco songs = (7C3)*(14C9) = 35*2002 = 70070

So, number of ways to select 12 songs with no more than 3 disco songs = 91+2548+21021+70070 = 93730.

So, nearest hundred = 93800 = 938*100 = 938*102.

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