SOLUTION: How many three-letter words (real or imaginary) can be formed formed from the letters in the word A. MAN? B. MOM?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: How many three-letter words (real or imaginary) can be formed formed from the letters in the word A. MAN? B. MOM?       Log On


   



Question 1191408: How many three-letter words (real or imaginary) can be formed formed from the letters in the word
A. MAN?
B. MOM?

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
How many three-letter words (real or imaginary) can be formed formed from the letters in the word
A. MAN?
B. MOM?
~~~~~~~~~~~~~~~~~

From the context, repeating of letters is not allowed.


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

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


     ANSWER.  6 different distinguished arrangements are possible.



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

     so 3%21%2F2 = %283%2A2%2A1%29%2F2 =  3 different/distinguished arrangements are possible.


     ANSWER.  3 different distinguished arrangements are possible.

Solved.