Amy and Frank had a pizza party on Friday night and they had some left...
Step 1: Understand the Objective
The objective of the question is to find the number of ways in which Amy and Frank can have the leftovers from the pizza party.
The information given is:
- There are 4 pizza slices with different toppings.
- There is 1 Coke and 1 Fanta left in the drinks.
- Each one of Frank and Amy is going to have 1 pizza slice and 1 drink.
Step 2: Write the objective equation enlisting all tasks
Let’s determine the tasks that need to be completed to accomplish the objective:
Since Frank and Amy want to have one pizza slice and one drink each, they need to fulfil the following tasks:
- Task 1 – Select one of the four different pizza slices for Frank
- Task 2 – Select one of the remaining three pizza slices for Amy
- Task 3 – Select one of the 2 cold drinks for Frank
- Task 4 – Select the remaining cold drink for Amy
Now, in order to accomplish the objective, each of the 4 tasks needs to be completed. Therefore, we will put multiplication signs in the Objective Equation.
The Objective Equation will be:
Step 3: Determine the number of ways of doing each task
- Task 1 -Select one of the four different pizza slices for Frank
Number of ways of selecting 1 item from four different items = 4C1 = 4
Thus, there are 4 ways to do Task 1.
- Task 2 -Select one of the remaining three pizza slices for Amy
Number of ways of selecting 1 item from 3 different items = 3C1 = 3
Thus, there are 3 ways to do Task 2.
- Task 3 -Select one of the 2 cold drinks for Frank
Number of ways of selecting 1 item from 2 different items = 2C1 = 2
Thus, there are 2 ways to do Task 3.
- Task 4 - Select the remaining cold drink for Amy
Number of ways of selecting 1 item from 1 item = 1
Thus, there is only 1 way to do Task 4.
Step 4: Calculate the final answer
(Number of ways in which Frank and Amy can have the leftovers)
= 4*3*2*1
= 24
So, there are 24 different ways in which Frank and Amy can eat the leftovers from the pizza party. .
Answer: Option D