Question 1191408
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How many three-letter words (real or imaginary) can be formed formed from the letters in the word
A. MAN?
B. MOM? 
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From the context, repeating of letters is not allowed.



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(A)  The word "MAN" consists of three different letters,

     so 3! = 3*2*1  6 permutatioms are possible, and they all are different/distinguished.


     <A>ANSWER</U>.  6 different distinguished arrangements are possible.



(B)  The word "MOM" consists of three letters, two of them are identical.

     so {{{3!/2}}} = {{{(3*2*1)/2}}} =  3 different/distinguished arrangements are possible.


     <A>ANSWER</U>.  3 different distinguished arrangements are possible.
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Solved.