You can put this solution on YOUR website! in how many ways can the letters of the word number be arranged if e and r cannot be side by side?
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letters in "number":: 6
Number of arrangements where e and r CAN BE side by side:: 5*2!*4!
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Ans: # of ways they CANNOT be side-by-side:: 6! - 10*4! = 480
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Cheers,
Stan H.