You are supposed to pick a password of length six. You must have only one special character that needs to be chosen from #, $, %, *, &, !, ^ . The remaining five need to be either lower case alphabets or numbers from 1-9. Also, the first character must be an alphabet and the last must be a special character. The remaining four can be either alphabets or numbers. However, no repetition is allowed anywhere in the password. How many possible passwords can you have? (Hint: - Use the counting principle we learned in class)
Show how many possibilities are there for each character and also the final answer.