The Grinch sneaks into a room with 9 Christmas presents to 9 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 4 presents keep their original labels? Explain. c. Exactly 8 presents keep their original labels? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The Grinch sneaks into a room with 9 Christmas presents to 9 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 4 presents keep their original labels? Explain.
c. Exactly 8 presents keep their original labels? Explain.
Transcribed Image Text:The Grinch sneaks into a room with 9 Christmas presents to 9 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 4 presents keep their original labels? Explain. c. Exactly 8 presents keep their original labels? Explain.
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