The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

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Answer 1

Question

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Answer 2

Question

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

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Answer 3

Question

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

Expert Solution & Answer

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Answer 4

Question

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

Expert Solution & Answer

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Answer 5

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

Answer 6

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

Answer 7

Chapter 8.1, Problem 24E

(a)

To determine

To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

Answer 8

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

Answer 9

(b)

To determine

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

Answer 10

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

Answer 11

(c)

To determine

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

Answer 12

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

Answer 13

(d)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

Answer 14

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

Answer 15

(e)

To determine

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Ch. 8.1 - A combination lock can be set to open to any...Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 3YT Ch. 8.1 - Prob. 4YT Ch. 8.1 - Prob. 5YT Ch. 8.1 - Prob. 6YT Ch. 8.1 - Prob. 7YT Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E

The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

Solution Summary: The author calculates the number of ways a child can arrange plastic objects if they are different colors.

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To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.

To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.

To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.

To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.

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