How many students pass neither math nor science?

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Multiple Choice

How many students pass neither math nor science?

Think about the complement of the two subjects. The number who pass neither is the number outside both sets. To get that, first count everyone who passes at least one of the subjects by adding those who pass only math, only science, and both. That total is the number who pass at least one. Subtract that from the total number of students to get those who pass neither. In this scenario, after accounting for everyone who passed math or science, there are two students left who don’t pass either, so the correct count is two.

Think about the complement of the two subjects. The number who pass neither is the number outside both sets. To get that, first count everyone who passes at least one of the subjects by adding those who pass only math, only science, and both. That total is the number who pass at least one. Subtract that from the total number of students to get those who pass neither. In this scenario, after accounting for everyone who passed math or science, there are two students left who don’t pass either, so the correct count is two.

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