Question #58801

What is the total number of outcomes of choosing between water, iced tea, or lemonade; with a lemon slice or without; served in a small or large glass?
1

Expert's answer

2016-03-31T09:02:04-0400

Answer on Question #58801 – Math – Combinatorics | Number Theory

Question

What is the total number of outcomes of choosing between water, iced tea, or lemonade; with a lemon slice or without; served in a small or large glass?

Solution

First, we have three options for choosing. Next, for each of these options we have two additional options (with a lemon slice or without), and we get number of outcomes:


32=6.3 \cdot 2 = 6.


At last, we have two more options (served in a small or large glass) that give us the total number of outcomes:


62=12.6 \cdot 2 = 12.


Answer: the total number of outcomes is 12.

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