(A) How many cards are in a full SET deck? How can you figure this out without actually counting the cards in the deck (or reading the box)? (B) If you put all of the cards from the deck on the table at the same time, how many different SETS will there be?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(A) How many cards are in a full SET deck? How can you figure this out without actually counting the cards in the deck (or reading the box)?

(B) If you put all of the cards from the deck on the table at the same time, how many different SETs will there be?
Transcribed Image Text:(A) How many cards are in a full SET deck? How can you figure this out without actually counting the cards in the deck (or reading the box)? (B) If you put all of the cards from the deck on the table at the same time, how many different SETs will there be?
Expert Solution
Step 1: Determine the given attributes

A SET deck is composed of cards with varying attributes in terms of:

  1. Number: 1, 2, or 3 items
  2. Symbol: diamond, squiggle, or oval
  3. Color: red, green, or purple
  4. Shading: solid, striped, or open
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