Explanation Approach: The number of combinations of n distinct objects taken r at a time is, C ( n , r ) = n ! r ! ( n − r ) ! Here, ( r ≤ n ) Calculation: Notice that the number of ways of selecting two objects from ten objects is similar to the number of ways of rejecting eight objects from ten objects. The number of ways of selecting 2 objects from 10 objects is C ( 10 , 2 ) , and the number of ways of rejecting eight objects from is 10 objects is C ( 10 , 8 )

4th Edition

ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

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Chapter 14.1, Problem 92E

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To explain:

The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C(n,r)=C(n,n−r).

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Chapter 14.1, Problem 91E

Chapter 14.1, Problem 93E

Chapter 14 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 14.1 - CONCEPTS The Fundamental Counting Principle says...Ch. 14.1 - CONCEPTS The number of ways of arranging r objects...Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

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The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C ( n , r ) = C ( n , n − r ) .

Solution Summary: The author explains that the number of ways of selecting two objects from ten objects is the same as those of rejecting eight objects.

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To explain:

The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C(n,r)=C(n,n−r).

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Chapter 14 Solutions

The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C ( n , r ) = C ( n , n − r ) .

Solution Summary: The author explains that the number of ways of selecting two objects from ten objects is the same as those of rejecting eight objects.

Concept explainers

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To explain: The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C(n,r)=C(n,n−r).

Want to see the full answer?

Chapter 14 Solutions

To explain:

The reason that the number of ways of selecting two objects from ten objects is same as the number of ways of selecting eight objects from ten objects, and C(n,r)=C(n,n−r).