How Well Do You Know Postage Stamp Problem?

The given question asks about the kind of mathematical problem that it falls under. The options provided are equation, mathematical riddle, trinomial problem, and polynomial problem. The correct answer, mathematical riddle, suggests that the question is not a straightforward mathematical problem but rather a puzzle or riddle that requires critical thinking and problem-solving skills to solve.

Brute force search can be used in solving the problem. This technique involves systematically checking all possible solutions to find the correct one. It does not rely on any specific knowledge or strategy, but rather explores every possible option. In this case, brute force search would involve exhaustively searching for a solution to the problem by trying every possible approach or combination until the correct one is found.

To yield 12 cents, the number of stamps should add up to 12. Among the given options, only 4 stamps can add up to 12 cents (3 cents per stamp). Therefore, 4 stamps is the correct answer.

The term "denote" means to represent or indicate. In the context of the problem, "denote" refers to what is being represented or indicated. Out of the options provided, positive integers are commonly used to represent or indicate quantities or values in many mathematical problems. Therefore, positive integers are the most likely choice to be used to denote in the problem.

The problem described in the question is called a polynomial time problem. In this type of problem, the capacity of the envelope is fixed, meaning it does not change. The term "polynomial time" refers to the amount of time it takes to solve the problem, which is typically a polynomial function of the input size. This means that the time required to solve the problem grows at a reasonable rate as the input size increases, making it a manageable problem to solve.

To get 13 cents using stamps, four stamps are needed. This is because the available options of two, five, and seven stamps do not add up to 13 cents. However, four stamps with a value of 3 cents each would give a total of 12 cents, and adding one more stamp would make it 13 cents.

There are only 2 methods that are useful in solving the problem.

The question asks for something that is not related to the problem. Envelope, Integer, and Capacity are all terms that could potentially be related to a problem, depending on the context. However, Variable is a term that is commonly used in programming and mathematics to represent a value that can change. It is not directly related to a specific problem, but rather a general concept that can be applied to various problems. Therefore, Variable is the correct answer as it is not directly related to the problem.

The problem described in the question is referred to as an NP-hard problem. NP-hard problems are a class of computational problems that are at least as hard as the hardest problems in the complexity class NP. In this case, the problem of determining the capacity of an envelope when it is arbitrary is considered to be NP-hard, indicating that it is difficult to find an efficient algorithm to solve it.

Most envelopes can hold a maximum of 3 stamps because the question asks for the maximum number of stamps that "most" envelopes can hold. While it is possible for some envelopes to hold more than 3 stamps, the majority of envelopes are designed to hold a maximum of 3 stamps. Therefore, 3 stamps is the correct answer.