Are there exactly 3 distinct symbols used to create the code words in language Q? 1.The set of all code words in language Q is the set of all possible distinct horizontal arrangement of one or more symbols,with no repetition. 2.There are exactly 15 code words in language Q.
If there are 3 distinct symbols, we can arrange one or more of them on the line without repetition: 1 symbol only: 3 possibilities. 2 symbols: 3*2= 6 possibilities. 3 symbols: 3*2=6 possibilites
Total possibilities = 15. 15 distint words reprented by 3 distinct symbols. Bingo.