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so in this video i want to talk about the number of ways to arrange a set of items so i drew here i have four books and lets say that i wanted to know how many ways can i order these things on my bookshelf so maybe this is the order maybe its one two three four but it could also be four three two one so lets think about this in a little bit more of a mathematical sense so im to write im going to put the different slots here so these are like the places on my shelf that i could put my books so im getting ready to place the first book so im going to put whichever book in the first slot so how many choices do i have for that slot well i have four books so that means i have four choices for the first slot now im going to place the second book okay well now that ive already placed one book i have three books left so there are three choices for that slot number two okay moving on if ive placed for the first two books i only have two left that means if i wanted to place a book in t