Question 1073139: How many different code words can be made from the symbols *,*,*,@,@,#,#,#,#,$ if each word has 10 symbols?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! There are 10 symbols available.
Since each word has 10 symbols,
all available symbols will be used.
If all 10 symbols were distinguishable from one another,
you could make  .
However, there are
3 *,
2 @,
4 #, and 1 $.
Secretly marking the repeat symbols,
in a way only you could notice,
you would realize that
interchanging the  @ you can make
 copies of each word that look identical to everyone else.
Similarly, interchanging only the  *,
you can make  versions of each word that only you can distinguish,
and you can make  versions of each word by playing with the # symbols.
Playing with all of the repeated symbols,
you could make  versions of each word.
So, although you would distinguish among  replicates of each word,
to see  different strings of characters,
there would be only
 different words.
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