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