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