Question

AVON MODESTER 0 save & End Certily Lessonc 4.5 Combining Probability and Cou.. Question 9 of 11. Step 2 of 2 메》acoueine is making a playesr sor an mp3 player she i, trying to de de what IOsorgstoplayan, nwhat order rey told trayed if she has her chokes narrowed down to 8 blues, 5 rock 6 country, arid 4 pop songs, and she wants to play alt 5 rock songs how many different playlists are possible? Express your answer in sclentific notation rounding to the hundredths place Tables x10

Answer 1

Number of blue songs = 8

Number of rock songs = 5

Number of country songs = 6

Number of pop songs = 4

Given that she wants to play a total of 10 songs of which 5 must be rock songs.

Hence, remaining number of songs to be chosen = 10 - 5 = 5

She needs to choose the above remaining 5 songs from a total of 8 blue + 6 country + 4 pop = 18 songs.

Hence, number of ways that she can play 10 songs in different orders:

18C's ×5C5 × 101

18! 5! × 10! (18-5)! × 5'- (5-5)! × 5!

31091558400

3.11 × 1010