Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
Answer:
Y= 2x+10
Step-by-step explanation:
(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)
You add 2 every time
Answer
8/9, 4/9, -9, -10
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.
You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change
96/6 = 16.
Now multiply 18 and 16 to get the number of cookies.
18 x 16 = 288
10,800 :) 8 multiplied by 1,350 would give you 10,800 miles.