While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in five sizes, while packets of licorice nibs come in four. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have? HINT [See Example 2.]
To determine the number of choices Professor Murphy has, we need to consider the different options available for each type of candy.
If he chooses gummy candy, he has three options: gummy bears, gummy worms, or gummy dinos.
If he chooses licorice nibs, he has two options: red or black.
Now, let's consider the number of choices he has for each candy type:
Number of choices for gummy candy = 3 options (gummy bears, gummy worms, gummy dinos)
Number of choices for licorice nibs = 2 options (red, black)
To calculate the total number of choices, we need to multiply the number of choices for each type of candy.
Total number of choices = Number of choices for gummy candy * Number of choices for licorice nibs
Total number of choices = 3 * 2 = 6
Therefore, Professor Murphy has a total of 6 choices when considering both gummy candy and licorice nibs.