Question

Determine which amounts of postage can be formed using just 3-cent and 10-cent stamps.

A) By applying the Frobenius Coin Problem
B) By using the Euclidean Algorithm
C) By considering the divisibility rules
D) By employing the Chinese Remainder Theorem

Answer 1

To determine which amounts of postage can be formed using just 3-cent and 10-cent stamps, we can use the Frobenius Coin Problem.

Step-by-step explanation:

To determine which amounts of postage can be formed using just 3-cent and 10-cent stamps, we can use the Frobenius Coin Problem. This problem asks us to find the largest amount of postage that cannot be formed using a combination of 3-cent and 10-cent stamps. The formula for the Frobenius Coin Problem is:

Frobenius Coin Problem Formula: n = (a-1)(b-1) - (a-1) - (b-1)

where n is the largest amount of postage that cannot be formed, and a and b are the values of the stamps.

In this case, since we have 3-cent and 10-cent stamps, the formula becomes:

n = (3-1)(10-1) - (3-1) - (10-1)

Simplifying the formula, we get:

n = 2(9) - 2 - 9

n = 18 - 2 - 9

n = 7

Therefore, the largest amount of postage that cannot be formed using just 3-cent and 10-cent stamps is 7 cents.