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.)
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Are you familiar with the formula for permutations?
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So after you choose the first one, you only have 13 to choose from.
it is not because in that case you are considering you can play the same song three times
well than itss 42 than .
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.