Counting and Probability...why is this wrong?? 1. The problem statement, all variables and given/known data How many ten letter words can be made from the english alphabet which contain at least one X, at least one Y and at least one Z? 2. Relevant equations 3. The attempt at a solution 1) Choose a place for X (10 ways) 2)Choose a place for Y(9 ways) 3)Choose a place for Z(8 ways) 4)Choose another seven letters from the alphabet (26) with repetitions allowed (267 ways) So the number of 10 letter words= 10.9.8.267 where (.) means multiply. what is so wrong about this???