Mr. Stinson has a vault in his office which has a 6 carat diamond. A thief wants to steal this diamond. There is a numeric keypad attached to the vault. One must type in the password to open the vault. The thief knows that the password is the same as the price of the diamond, which is a 5 digit number. No two digits of the number are the same. Also, the first 3 digits of the password are in ascending order and the last 3 digits are in descending order.
(i) How many such passwords are possible?
(ii) The thief starts from the lowest possible password and tries the possible passwords one at a time in ascending order. He managed to open the vault in his 4th attempt. What was the password?