Counting Principles · Example 2
Solve counting problems using the multiplication principle.
ⓐ Diane packed 2 skirts, 3 blouses, and 2 sweaters for her business trip. She will need to choose a skirt and a blouse for each outfit and decide whether to wear the sweater. Use the Multiplication Principle to find the total number of possible outfits.
ⓑ A restaurant offers a lunch special that includes an entree, a main dish, and a beverage. There are 3 types of entrees, 4 main dish options, and 5 beverage choices. Find the total number of possible lunch specials.
ⓒ Next semester you are going to take one science class, one math class, one history class and one english class. According to the schedule you have 4 different science classes, 3 different math classes, 2 different history classes, and 3 different English classes to choose from. Assuming no scheduling conflicts, how many different four-course selections can you make?
ⓓ How many license plates consisting of 2 letters followed by 4 digits are possible?
OpenStax, Algebra and Trigonometry 2e · §13.5 Counting Principles · Example 2
No hints for this one.
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