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Mathematics 22 Online
OpenStudy (anonymous):

How many different arrangements of the letters in the word "PURPLE" are there

OpenStudy (anonymous):

Since there are 6 letters in the word PURPLE, you will multiply it by 6 and get 36

OpenStudy (anonymous):

So there are 36 different arrangements

Parth (parthkohli):

lol what logic is that?

Parth (parthkohli):

If you think of it by six slots ______, there are 6 letters that can fit in first, then 5 in second, then 4 in third, then 3 in fourth.. till 1 We'll multiply the numbers 6 * 5 * 4 * 3 * 2 * 1

OpenStudy (anonymous):

That's correct, but do you have to be concerned when some of them are the same configuration because there's two P's?

Parth (parthkohli):

Oh yes, so then you'll divide the number of ways you could arrange the two P's, and that number is 2!

OpenStudy (anonymous):

thanks!!!

Parth (parthkohli):

yw

OpenStudy (anonymous):

Why would you divide by 2?

Parth (parthkohli):

Because that's the number of ways you could arrange the two P's

OpenStudy (anonymous):

permutation is it?

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