Find the number of possible outcomes;;
A lounge chair can be ordered with a choice of rocking or non rocking, swivel or non swivel, cotton or leather, or plush cover, and in green blue maroon or black.
If you make a tree diagram, you will find that there are two branches after rocking or non-rocking, 4 branches after swivel or non-swivel, 12 branches after cotton, leather or plush cover...
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To determine the number of possible outcomes, we need to consider all the available choices for each category and multiply them together.
1. Choice of rocking or non-rocking: There are 2 options.
2. Choice of swivel or non-swivel: There are 2 options.
3. Choice of cotton or leather or plush cover: There are 3 options.
4. Choice of green, blue, maroon, or black: There are 4 options.
To find the total number of possible outcomes, we multiply the number of choices in each category:
2 (rocking or non-rocking) × 2 (swivel or non-swivel) × 3 (cotton, leather, or plush) × 4 (green, blue, maroon, or black) = 48
Therefore, there are 48 possible outcomes for ordering a lounge chair with these choices.