A student downloads 5 music files to a portable MP3 player. In how many different orders can the songs be played?

To find the number of different orders in which the 5 music files can be played, we use the concept of permutations. Since there are 5 files, we will calculate the number of permutations of 5 objects taken all at a time, which is denoted as 5P5.
The formula to find permutations is: nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects taken at a time. In this case, n = 5 and r = 5.
Substituting the values in the formula, we get: 5P5 = 5! / (5-5)! = 5! / 0! = 5 x 4 x 3 x 2 x 1 = 5! = 120.
Therefore, there are 120 different orders in which the songs can be played.

Answered by Qwangel | 2024-06-18

The question involves calculating the number of different orders for playing 5 songs, which is a permutation problem. Using the factorial function, the answer is that there are 120 different orders. ;

Answered by sakshiprajapati688 | 2024-06-18

There are 120 different orders in which the 5 music files can be played. This is calculated using the formula for permutations, specifically 5!. Therefore, the total arrangements are 5! = 120.
;

Answered by Qwangel | 2024-10-23