The Grinch sneaks into a room with 7 Christmas presents to 7 different people. He proceeds to switch the name-labels on the presents. How many ways could he do this if: a. No present is allowed to end up with its original label? Explain what each term in your answer represents. b. Exactly 3 presents keep their original labels? Explain. c. Exactly 6 presents keep their original labels? Explain.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...
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The Grinch sneaks into a room with 7 Christmas presents to 7 different people. He proceeds to switch the
name-labels on the presents. How many ways could he do this if:
a. No present is allowed to end up with its original label? Explain what each term in your answer
represents.
b. Exactly 3 presents keep their original labels? Explain.
c. Exactly 6 presents keep their original labels? Explain.
Transcribed Image Text:The Grinch sneaks into a room with 7 Christmas presents to 7 different people. He proceeds to switch the name-labels on the presents. How many ways could he do this if: a. No present is allowed to end up with its original label? Explain what each term in your answer represents. b. Exactly 3 presents keep their original labels? Explain. c. Exactly 6 presents keep their original labels? Explain.
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