Praxis 5003 Practice Question
Students at Rise Middle School are required to wear uniforms to school. Each student has the choice of wearing blue or khaki pants and a red, white, or green shirt. The student council wants to add black pants and maroon shirts to the school's uniform outfit choices. Which of the following is the number of new outfits that the students would have to choose from?
Correct Answer: C
Rationale: To determine the total number of outfit combinations, consider the choices for pants and shirts. Initially, students can choose between 2 pants (blue or khaki) and 3 shirts (red, white, or green), resulting in 2 x 3 = 6 combinations. With the addition of black pants and maroon shirts, the choices increase to 3 pants (blue, khaki, black) and 4 shirts (red, white, green, maroon). This results in 3 x 4 = 12 total combinations. However, the question asks for the new outfits introduced by the changes. The new options (black pants and maroon shirts) create 3 additional combinations (1 for each existing pant with the new shirt and vice versa), leading to 6 original outfits plus 6 new ones, totaling 12.
Option A (3) is too low, as it doesn't account for all combinations. Option B (5) also underestimates the total. Option D (7) miscalculates the new combinations. Therefore, the total number of new outfits is indeed 6.
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