Math 141, Sem. I, 1998-99 (R.A. Brualdi)
Handout 21 (November 20, 1998)
Topic: Quiz #6
1. Consider an ordinary deck of 52 cards (4 suits, cards of 13
denominations: Ace=1,2,3,4,5,6,7,8,9,10,J=11,Q=12,K=13). In the
game of quant, a hand consists of 6 cards.
(a) How many different hands are possible?
(b) How many hands contain only cards of the same suit?
(c) How many hands are straight flushes (consecutive cards of the
same suit)?
(d) How many hands contain exactly three hearts (the other three
cards can be anything except hearts)?
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Scratch work - I will not read this.
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Polished solution:
2. Your refrigerator contains 3 different kinds of fruit: apples
oranges, and pears. There are
6 apples of different sizes,
5 oranges of different varieties, and
4 pears of different colors.
A basket of fruit consist of 6 pieces of fruit.
(a) How many different baskets are possible?
(b) How many different baskets are possible if a basket of fruit
must contain 2 pieces of each kind?
(c) How many different baskets are possible if a basket of fruit
must contain exactly two apples (no restriction on the other
two kinds)?
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Scratch work - I will not read this.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Polished solution: