Hi,

number of  four-letter arrangements, without repetition, from the set:

 {D, S, U, X}    = 24 possible arrangements

 How many arrangements have no vowels? without repetition, NONE 

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
 
I can't make that huge tree diagram on here because it has 24
things in the last column of branches of the tree.  However the 
answer to the question is 0 because you can't have a 4-letter 
arrangement with only 3 consonants without repeating one of the 
3 consonants.

Edwin
 

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