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5. How many distinct factors do the following have? (a) 1000100. (b) 7ª11*13°; a, b e N. 6. At a party 9 gentlemen check their umbrellas. In how many ways can their umbrellas be returned so that (a) no gentleman receives his umbrella? (b) at least 2 gentlemen receive their own umbrellas?

5. How many distinct factors do the following have? (a) 1000100. (b) 7ª11*13°; a, b e N. 6. At a party 9 gentlemen check their umbrellas. In how many ways can their umbrellas be returned so that (a) no gentleman receives his umbrella? (b) at least 2 gentlemen receive their own umbrellas?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. How many distinct factors do the following have? (а) 1000100 (b) 7“11*13"; a, b e N. 6. At a party 9 gentlemen check their umbrellas. In how many ways can their umbrellas be returned so that (a) no gentleman receives his umbrella? (b) at least 2 gentlemen receive their own umbrellas?
Transcribed Image Text:5. How many distinct factors do the following have? (а) 1000100 (b) 7“11*13"; a, b e N. 6. At a party 9 gentlemen check their umbrellas. In how many ways can their umbrellas be returned so that (a) no gentleman receives his umbrella? (b) at least 2 gentlemen receive their own umbrellas?
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