Question

Cribbage, or Crib, is a card game traditionally for two players, but commonly played with three,...

Cribbage, or Crib, is a card game traditionally for two players, but commonly played with three, four or more, that involves playing and grouping cards in a deck of 52 in combinations which gain points. Cribbage has several distinctive features: the cribbage board used for score keeping, the crib or box (a seperate hand counting for the dealer), two distinct scoring stages (the play and the show) and a unique scoring system including points for groups of cards total fifteen. When cribbage is played with two people, each player is dealt six cards, four of which the player keeps and two of which are put in the 'crib'.

a) How many ways can six cards be dealt?

b) How many ways can the two sets of six cards be dealt?

c) Once a player has six cards, the player must decide which four to keep and which two to put in the crib. How many ways can this occur?

d) One way to earn points is to get a pair. One pair is worth two points. Determine how many pairs can be made from having three jacks, and thus determine how many points you get for three of a kind?

e) Repeat part d) for four of a kind.

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