Two persons, A & B, perform a card trick with one deck of cards in front of audience in a room. B waits outside the room. A asks a member of the audience to shuffle the deck of cards, select five cards at random and pass them back to A. A looks at all the five cards and hands back one card to the audience member. A arranges remaining four cards in some way and places them face down. B enters the room and looks at the four cards. Is it possible for B to determine the fifth card which is with the audience member. A & B are only allowed to communicate before the trick. (assume no jokers in the deck)
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