MAT-152 Written Assignment 6
Answer the following questions. You can either handwrite your solutions (e.g., by printing this
document and writing on paper or by using drawing software), or you can type your solutions.
SHOW ALL OF YOUR WORK
, including anything entered into your TI-84 or any Excel commands.
1.
A certain person has the following number of shirts, pants, and shoes in their (very
small) closet:
5 shirts
4 pants
2 shoes Use counting techniques to determine the number of unique outfits that can be made
with these clothes.
A standard deck of cards consists of 52 distinct cards. Each card has a “face value” of 2 through
10, Jack, Queen, King, and Ace (giving 13 possible face values), as well as a “suit” of either
Spades, Clubs, Hearts, or Diamonds.
2.
Use counting techniques to calculate the number of different arrangements of the 52
cards. (This number is very large, so you can just write down how you calculated it)
3.
In (a simplified version of) the card game Five-Card Poker, you are dealt a “hand”
consisting of five cards from the top of the deck, and the order of your five cards does
not matter. Use counting techniques to determine how many different hands are
possible in Five-Card Poker.
