A QUICKER SOLUTION: OBSERVATIONS: The number of cards in each suit is different. The number of hearts and diamonds is 5, so there can only be the following possible pairs: 1 heart + 4 diamonds 2 hearts + 3 diamonds 3 hearts + 2 diamonds 4 hearts + 1 diamond So the maximum number of diamonds or hearts is 4 The number of diamonds and spades is 6, so there can only be the following possible pairs: 1 diamond + 5 spades 2 diamonds + 4 spades (cannot be 3 + 3) 4 diamonds + 2 spades (cannot have more than 5 diamonds) The numbers of diamonds or spades cannot be 3 The number of clubs is the remainder of the 13 cards. Let us "diagram" the solution:

					Number of Cards	REQUIREMENTS
						MUST ADD TO 13 NO TWO COUNTS CAN BE THE SAME ONE COUNT MUST BE 2
Possible Number of Diamonds 1 2 4						MUST ADD TO 5
						MUST ADD TO 6
	In turn, click on each of the buttons that represent the number of diamonds in the hand and the numbers of the other suits will be "enumerated". Check the requirements for each configuration for validity. What suit has only 2 cards and thus is the trump suit?

HOMEWORK PROBLEM: