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nguishable ways can the objects be arranged in a row if objects of the same shape are also th ther? can you select 3 objects, one of each shape, if the order in which the objects are selected d - color? can you select 3 objects, one of each shape, if the order in which the objects are selected m uses a special deck of cards (www.SETgame.com e ). Each card of the deck has a unique arr stics: shape, color, shape-fill, and number of shapes. For example, observe the 12 random card ree colors, three shapes, three shape-fills, and three quantities. If each possible con e card in the deck, how many cards are in the deck? 00 2 O 000 0

nguishable ways can the objects be arranged in a row if objects of the same shape are also th ther? can you select 3 objects, one of each shape, if the order in which the objects are selected d - color? can you select 3 objects, one of each shape, if the order in which the objects are selected m uses a special deck of cards (www.SETgame.com e ). Each card of the deck has a unique arr stics: shape, color, shape-fill, and number of shapes. For example, observe the 12 random card ree colors, three shapes, three shape-fills, and three quantities. If each possible con e card in the deck, how many cards are in the deck? 00 2 O 000 0

A First Course in Probability (10th Edition)
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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**Transcription for Educational Website:** 1. A Finite student has a set of differently shaped plastic objects. There are 3 pyramids, 4 cubes, and 7 spheres. a) In how ways can the objects be arranged in a row if each is a different color? b) How many arrangements are possible if objects of the same shape must be grouped together and each object is a different color? c) In how many distinguishable ways can the objects be arranged in a row if objects of the same shape are also the same color but need not be grouped together? d) In how many ways can you select 3 objects, one of each shape, if the order in which the objects are selected does not matter and each object is a different color? e) In how many ways can you select 3 objects, one of each shape, if the order in which the objects are selected matters and each object is a different color? --- 2. The game of SET® uses a special deck of cards (www.SETgame.com). Each card of the deck has a unique arrangement of each of the following characteristics: shape, color, shape-fill, and number of shapes. For example, observe the 12 random cards (image below) from the deck. There are three colors, three shapes, three shape-fills, and three quantities. If each possible combination is represented by one card in the deck, how many cards are in the deck? *Image description:* The image shows 12 cards with different combinations of shapes, colors, shape-fills, and quantities. There are cards with various shapes like ovals, diamonds, and squiggles, filled in different patterns and displayed in different numbers, illustrating the variety possible in the SET® card game.
Transcribed Image Text:**Transcription for Educational Website:** 1. A Finite student has a set of differently shaped plastic objects. There are 3 pyramids, 4 cubes, and 7 spheres. a) In how ways can the objects be arranged in a row if each is a different color? b) How many arrangements are possible if objects of the same shape must be grouped together and each object is a different color? c) In how many distinguishable ways can the objects be arranged in a row if objects of the same shape are also the same color but need not be grouped together? d) In how many ways can you select 3 objects, one of each shape, if the order in which the objects are selected does not matter and each object is a different color? e) In how many ways can you select 3 objects, one of each shape, if the order in which the objects are selected matters and each object is a different color? --- 2. The game of SET® uses a special deck of cards (www.SETgame.com). Each card of the deck has a unique arrangement of each of the following characteristics: shape, color, shape-fill, and number of shapes. For example, observe the 12 random cards (image below) from the deck. There are three colors, three shapes, three shape-fills, and three quantities. If each possible combination is represented by one card in the deck, how many cards are in the deck? *Image description:* The image shows 12 cards with different combinations of shapes, colors, shape-fills, and quantities. There are cards with various shapes like ovals, diamonds, and squiggles, filled in different patterns and displayed in different numbers, illustrating the variety possible in the SET® card game.
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