Question

A travel agency has a limited number of six different free pamphlets about th ebeetle islands the agent tells you to take any that you want, but not more than two of any kind assuming that you take at least one pamphlet, how many choices could you make?

Answer 1

There are 9,720 different choices you could make.

Step-by-step explanation:

In this problem, we have six different types of free pamphlets about the Beetle Islands. We are allowed to take any combination of pamphlets, but not more than two of any kind. Since we have at least one pamphlet, we can make choices by considering the number of possibilities for each type of pamphlet. Here's how we can calculate the number of choices:

Pick one type of pamphlet: There are 6 choices for the first type of pamphlet.

Pick a second type of pamphlet: There are 5 choices remaining for the second type of pamphlet.

Decide how many of each type of pamphlet to take: For each type of pamphlet, we can take 0, 1, or 2 copies. So, there are 3 choices for each type of pamphlet.

To calculate the total number of choices, we can multiply the number of choices for each step: 6 * 5 * 3 * 3 * 3 * 3 = 9,720. Therefore, there are 9,720 different choices we could make.