The problems on this page all deal with hands taken from a deck of 24 cards: the 9, 10, . , Q, K, A of each of the four suits.

The problems on this page all deal with hands taken from a deck of 24 cards:the 9, 10, ... , Q, K, A of each of the four suits.

It may be necessary to break each problem down into disjoint cases, then apply the Fundamental Principl of Counting to each case.

b. How many five-card hands are possible which satisfy:the hand has exactly two heartsthe hand has exactly two spadesthe hand has exactly two Kings

c. How many 6-card hands are possible which satisfy:

the hand has exactly two hearts

the hand has exactly three spades

the hand has exactly 2 Kings