THE PUZZLET PAGE


PUZZLET 127

Playing Card Scores


Four playing cards are played from a standard pack.  The game is a little unusual in the way the scoring system works.

cards 

The value of each card is calculated as its face value (ace = 1 ... king = 13) times the value of its suit (clubs 1, hearts 2, spades 3, diamonds 4). The score for each play is the sum of the calculated value of each of the four cards.

Examples:  3 of hearts = 3 x 2 = 6. Jack of spades = 11 x 3 = 33.

Assuming a new deal from a freshly-shuffled pack each time, which score can be achieved in more ways than any other?  How many ways? Which scores below the maximum possible cannot be obtained by such a deal?


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Last Updated: January 14th, 2010.