9
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Finding Outcomes — Test

Question 9 • CR - Algebra 2 26-27 - S2

A store sells notebooks with each of the combinations of color, binding, and dividers shown in the table.Notebook FeaturesColorBindingDividerRedSpiralPocketsBlue3-ringNo PocketsGreen Yellow Black Which statements are true about the variety of notebooks that the store sells? Check all that apply.

Answer
A
There is a greater number of combinations with pocketed dividers than with no pockets.
B
There are more than 18 different combinations of features for sale.
C
The number of combinations of red notebooks is the same as the number of combinations that are yellow.
D
The number of combinations of black notebooks is the same as the number of combinations that have dividers with no pockets.
E
Adding one more color option would increase the number of different combinations by 4.

Explanation

There are 5 colors, 2 binding types, and 2 divider options, so the store offers 5 × 2 × 2 = 20 combinations. That makes B true, and each color—including red and yellow—has 2 × 2 = 4 combinations, so C is true. Pocketed and no-pocket dividers each pair with all 5 colors and 2 bindings, giving 10 combinations apiece, so A and D are false. Adding one color creates 2 × 2 = 4 additional combinations, so E is true.

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