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Question about Combinatorial Analysis: Multiplicative Principle

Source: Encceja


Mathematics

Combinatorial Analysis: Multiplicative Principle

Easy

(Encceja 2023) - Question Easy of Mathematics

a.
b.
c.
d.

Answer sheet

To solve this question, we will use the Multiplicative Principle. The Multiplicative Principle states that if one event can occur in 'a' different ways and a second event can occur in 'b' different ways, then the total number of ways both events can occur together is a*b. In this case, we have: 1. 5 different types of sandwiches to choose from. 2. 4 different types of soft drinks to choose from. 3. 3 different types of desserts to choose from. To find the total number of different snacks formed by 1 sandwich, 1 soft drink, and 1 dessert, we need to multiply the number of options for each category: Total combinations = (number of sandwiches) * (number of soft drinks) * (number of desserts) Total combinations = 5 * 4 * 3 Total combinations = 20 * 3 Total combinations = 60 Therefore, the snack bar can offer 60 different combinations of snacks, formed by 1 sandwich, 1 soft drink, and 1 dessert.

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