  Consider a well-shuffled deck of cards of $n$ different types where each type
occurs $m$ times. In a complete feedback game, a player is asked to guess the
top card from the deck. After each guess, the top card is revealed to the
player and is removed from the deck. The total number of correct guesses in a
complete feedback game has attracted significant interest in last few decades.
Under different regimes of $m, n$, the expected number of correct guesses,
under the greedy (optimal) strategy, has been obtained by various authors,
while there are not many results available about the fluctuations. In this
paper, we establish a central limit theorem with Berry-Esseen bounds when $m$
is fixed and $n$ is large. Our results extend to the case of decks where
different types may have different multiplicity, under suitable assumptions.
