**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.

Answered: Image /qna-images/answer/19944dfb-c81d-4dbc-aa82-7889db5ac730.jpg

Answered: nguishable ways can the objects 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 pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a side or a bottle of soda (but not both a side and a bottle of soda). There are 5 pizza choices, 7 sides, and 11 kinds of soda. How many options are there with this promotion?
A jar of jellybeans has three different colors of jellybeans: green, red, and yellow. Let’s use symbols to represent each color: green = g, red = r, and yellow = y. If you choose a handful of four jellybeans from the jar, how many different combinations of jellybeans are possible? Assume there are at least four of each color.
An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.Select ALL the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. * 5 necklaces and 1 bracelet 2 necklaces and 5 bracelets 3 necklaces and 3 bracelet 4 necklaces and 2 bracelets 3 necklaces and 5 bracelets 6 necklaces and no bracelets No necklaces and 8 bracelets This is a required question
In a volleyball training session, the coach needs to have 10 players standing in a row. Among these 10 players, there are three Grade 9, four Grade 7, one Grade 8 and two Grade 10 students. How many ways can they be arranged in a row?
For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize bag. If any number of candy types can be chosen, how many candy type combinations are possible?
Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?
In a certain pizzeria there are 5 toppings. How many combinations can you make with these 5 toppings?
Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if all three cards must be of the same denomination? at least 2 cards must be of the same denomination? each card must be of a different denomination?
Use either the letters in your surname or numbers in your student id card to explain the difference between “permutations” and “combinations.” Give a real-world example where the distinction between permutations and combinations is crucial. name is Giulia
please send handwritten solution for part d

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