Find the generating function
We have coins of these types: 1, 5, 10, 25, 50 cents and $1.
Find the generating function $\sum_{i=0}^{\infty } a_{i} x^{i} $ where $a_{i}$ is the number of ways you can pay $i$ cents with the coins.
25
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
![Alessandro Iraci](https://matchmaticians.com/storage/user/100977/thumb/matchmaticians-ee0kis-file-1-avatar-512.jpg)
1.7K
-
What is the meaning of ∏ here?
-
It's the product. Just like Σ, but it's a product instead.
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 540 views
- $6.00
Related Questions
- Recursive Set
- Discrete Math/ Set theory Question
- Help Resolving Questions
- Count the number of decks of cards, where no king is on top of the ace of the same suit.
- [Discrete Mathematics] For {1,3,6,10,15,…}. Find a recursive formula.
- Graph theory question on Euler circuit, Euler path, Hamilton circuit, and Hamilton path
- Logic Question 𝐴∧(𝐵∨𝐶)⊢(𝐴∧𝐵)∨(𝐴∧𝐶)
- Finding a unique structure of the domain of a function that gives a unique intuitive average?