We’re collecting four types of wildcats and three types of foxes for a natural reserve according to the following rules: there is no restriction on the number of wildcats, and at most 2 foxes is collected

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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We’re collecting four types of wildcats and three types of foxes for a natural reserve according to the following rules: there is no restriction on the number of wildcats, and at most 2 foxes is collected

3. We're collecting four types of wildcats and three types of foxes for a natural
reserve according to the following rules: there is no restriction on the number of
wildcats, and at most 2 foxes is collected.
a) Write down the generating function for the number of ways collect n
animals for the natural reserves, and express it as a quotient of two
polynomials.
b) Find the number of ways to collect n animals.
(Hint: Use the formula n = E-o(**n-1)xk )
(1-х)п
п-1
Transcribed Image Text:3. We're collecting four types of wildcats and three types of foxes for a natural reserve according to the following rules: there is no restriction on the number of wildcats, and at most 2 foxes is collected. a) Write down the generating function for the number of ways collect n animals for the natural reserves, and express it as a quotient of two polynomials. b) Find the number of ways to collect n animals. (Hint: Use the formula n = E-o(**n-1)xk ) (1-х)п п-1
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