(a) Interpretation: By using Stirling’s approximation, the value of 6.02 × 10 23 ! is to be estimated. Concept introduction: Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows: C = N ! ∏ n i ! i = 1 m Where, • N is the object. If the value of N is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of N is, ln N ! ≈ N ln N − N

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Answer 1

Question

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

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Answer 2

Question

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Expert Solution & Answer

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Answer 3

Question

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Expert Solution & Answer

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Answer 5

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Answer 6

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Answer 7

Chapter 17, Problem 17.5E

Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of $6.02×1023!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Answer 8

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Answer 9

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, $10100!$ is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=N!∏ni!i=1m$

Where,

• $N$ is the object.

If the value of $N$ is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of $N$ is,

$lnN!≈NlnN−N$

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 17 - Prob. 17.1E Ch. 17 - Prob. 17.2E Ch. 17 - Prob. 17.3E Ch. 17 - Prob. 17.4E Ch. 17 - Prob. 17.5E Ch. 17 - Prob. 17.6E Ch. 17 - Prob. 17.7E Ch. 17 - Prob. 17.8E Ch. 17 - Prob. 17.9E Ch. 17 - Prob. 17.10E

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Chapter 17 Solutions