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Kenneth Rosen Edition 7 Exercise 8.1 Question 7 (Page No. 510 - 511)

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Kenneth Rosen Edition 7 Exercise 8.1 Question 6 (Page No. 510)
Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term and n as their last term, where n is a positive ... $(A)$ are there when $n$ is an integer with $n \geq 2?$
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Kenneth Rosen Edition 7 Exercise 8.1 Question 5 (Page No. 510)
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Kenneth Rosen Edition 7 Exercise 8.1 Question 4 (Page No. 510)
A country uses as currency coins with values of $1$ peso, $2$ pesos, $5$ pesos, and $10$ pesos and bills with values of $5$ pesos, $10$ pesos, $20$ ... pay a bill of $n$ pesos if the order in which the coins and bills are paid matters.
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Kenneth Rosen Edition 7 Exercise 8.1 Question 3 (Page No. 510)
A vending machine dispensing books of stamps accepts only one-dollar coins, $\$1$ bills, and $\$5$ bills.Find a recurrence relation for the number of ways to ... $10$ for a book of stamps?
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