NUMBER and SCARLET arrangements

User Generated

yvfn900

Mathematics

Description

How many different arrangements can be made with the letters in the word NUMBER?

AND

How many different arrangements can be made with the letters in the word SCARLET?

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Explanation & Answer

There are 6 different letters in the word NUMBER. So, the first letter in the rearranged word may be chosen in 6 ways, the 2nd letter may be chosen in 5 ways, etc. Altogether there are 6*5*4*3*2*1 = 6! = 720 arrangements.

In a similar way, there are 7! = 5040 arrangements made with the letters from the word SCARLET that contains 7 different letters.


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