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A ship carries 48 flags, 12 each of the colors red, white, blue, and black. Twelve of these flags are placed on a vertical pole in order to communicate a signal to other ships.

A ship carries 48 flags, 12 each of the colors red, white, blue, and black. Twelve of these flags are placed on a vertical pole in order to communicate a signal to other ships.

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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A ship carries 48 flags, 12 each of the colors red, white, blue, and black. Twelve of these flags are placed on a vertical pole in order to communicate a signal to other ships.
Transcribed Image Text:A ship carries 48 flags, 12 each of the colors red, white, blue, and black. Twelve of these flags are placed on a vertical pole in order to communicate a signal to other ships.
4. a) For the ship in Example 9.28, how many signals use at least one flag of each color? (Solve this with an exponential generating function.) b) Restate part (a) in an alternative way that uses the con- cept of an onto function. c) How many signals are there in Example 9.28, where the total number of blue and black flags is even?
Transcribed Image Text:4. a) For the ship in Example 9.28, how many signals use at least one flag of each color? (Solve this with an exponential generating function.) b) Restate part (a) in an alternative way that uses the con- cept of an onto function. c) How many signals are there in Example 9.28, where the total number of blue and black flags is even?
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