Question

You have a CD with 14 songs, and you want to play 3 of them for your friends. How many different arrangements of 3 songs are possible? (Count two arrangements as different if they have the same 3 songs in a different order.)

Answer 1

Are you familiar with the formula for permutations?

Answer 2

i ws thinking its 2,744 because 14*14*14 = 2,744

Answer 3

But you can't choose the same song multiple times

Answer 4

So after you choose the first one, you only have 13 to choose from.

Answer 5

it is not because in that case you are considering you can play the same song three times

Answer 6

well than itss 42 than .

Answer 7

No, your instinct was right as far as the multiplication goes. First you must choose 1 item from a group of 14, then you must choose 1 item from a group of 13, then 1 from a group of 12. So the total number of was you can do this is 14*13*12.

Answer 8

2,184

Answer 9

Indeed.

Answer 10

tag