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.
May 5th, 2015
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