Question

d) A radio station has 10 songs they need to play in the morning. If they play all the songs, how many different orders can the songs be played in?

Answer 1

Explanation:

If the radio station plays all 10 songs in the morning, then the order in which they play the songs matters, and there are different ways to arrange the songs.

The number of ways to arrange 10 songs can be found using the formula for permutations:

P(10,10) = 10!

Where P(10,10) represents the number of permutations of 10 items taken 10 at a time.

Using a calculator, we can find:

P(10,10) = 10! = 3,628,800

Therefore, there are 3,628,800 different orders in which the 10 songs can be played.