Answer:
There are 6 rock songs on Fernando's road trip playlist.
Step-by-step explanation:
Given that he keeps the ratio same
This means that the ratios for both summer playlist and trip playlist will be the same
Let
c1 be the country songs in summer playlist
r1 be the rock songs in trip playlist
Similarly,
c2,r2 will be the country and rock songs in trip playlist
Both will be equal so
Putting the values
Hence,
There are 6 rock songs on Fernando's road trip playlist.
Answer:
You can arrange the books 3,628,800 different ways.
Step-by-step explanation:
You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.
Going left-to-right, the first slot has 10 available books.
Total combinations: 10
The 2nd slot has 9 available books.
Total combinations: 10 * 9
The 3rd slot has 8 available books.
Total combinations: 10 * 9 * 8
This continues for all 10 slots.
Eventually, for slot 10, there is only 1 book possible.
Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"
Thus, the total number of combinations is:
Answer: You can arrange the books 3,628,800 different ways.