Question

A comedian knows ​jokes, are about the weather and are about sports. in how many ways can people select their favorite joke about the weather and their two favorites jokes told about​ sports?

Answer 1

To calculate the number of ways people can select their favorite joke about the weather and their two favorite jokes about sports, multiply the number of options for each category. For the weather joke, there are n options. For the sports jokes, there are m choose 2 options, calculated using the combination formula. The total number of ways is n * C(m, 2).

Step-by-step explanation:

To calculate the number of ways people can select their favorite joke about the weather and their two favorite jokes about sports, we need to understand the number of options available for each category. Let's assume there are n jokes about the weather and m jokes about sports. To select their favorite joke about the weather, there are n options. To select their two favorite jokes about sports, there are m choose 2 options, which is calculated using the combination formula: C(m, 2) = m! / (2!(m-2)!). To calculate the total number of ways, we multiply the number of options for each category: n * C(m, 2).