Explanation Use counter example to show that the given condition is false. Take n = 3 and r = 2 , then substitute these values in to the given condition. 3 P 2 ≠ 3 P ( 3 − 2 ) 3 P 2 ≠ 3 P 1

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Chapter 11.7, Problem 61E

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To check: The condition nPr=nP(n−r) for all whole numbers, where n≥r is true or false.

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Chapter 11.7, Problem 60E

Chapter 11.7, Problem 62E

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To check: The condition n P r = n P ( n − r ) for all whole numbers, where n ≥ r is true or false.

Solution Summary: The author explains how to check the condition _nPr for all whole numbers, where nge r is false.

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To check: The condition nPr=nP(n−r) for all whole numbers, where n≥r is true or false.

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Chapter 11 Solutions

To check: The condition n P r = n P ( n − r ) for all whole numbers, where n ≥ r is true or false.

Solution Summary: The author explains how to check the condition _nP­r for all whole numbers, where n­ge r is false.

Videos

To check: The condition nPr=nP(n−r) for all whole numbers, where n≥r is true or false.

Want to see the full answer?

Chapter 11 Solutions

Solution Summary: The author explains how to check the condition _nPr for all whole numbers, where nge r is false.