Question 151
Pierino's calculator has a display, which initially shows the number $0$, and two keys: the $+1$ key, which adds $1$ to the number written on the display, and the $\times 3$ key, which multiplies the number written on the display by $3$. If the $+1$ key is pressed twice in a row, the calculator explodes. If the calculator display holds at most $5$ digits, how many numbers can Pierino obtain with a suitable sequence of keys (without making the calculator explode)?
(A) 2048
(B) 2187
(C) 4096
(D) 6561
(E) 66666
(A) 2048
(B) 2187
(C) 4096
(D) 6561
(E) 66666