Questions: Suppose Grant is going to build a playlist that contains 13 songs. In how many ways can Grant arrange the 13 songs on the playlist?

Solution Steps

To determine the number of ways Grant can arrange 13 songs on a playlist, we need to calculate the number of permutations of 13 distinct items. This is given by 13 factorial (13!).

To find the number of ways to arrange 13 distinct songs, we calculate the number of permutations, which is given by \( n! \), where \( n \) is the number of items to arrange. In this case, \( n = 13 \).

The factorial of 13 is calculated as follows: \[ 13! = 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 6227020800 \]

Thus, the total number of ways Grant can arrange the 13 songs on the playlist is \( 6227020800 \).

Final Answer