The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for p...

To determine how many students registered for both physics and mathematics, we need to consider the overlap between the sets representing the students who are taking these two subjects. In a Venn diagram, the area where two circles overlap represents the common students who are taking both courses. Here, we are interested in the overlap between the physics and mathematics circles.

Suppose we denote the number of students who registered for:

• Mathematics as set A
• Physics as set B
• Chemistry as set C

According to the principle of inclusion and exclusion, the students registered for both Mathematics and Physics belong to the segment where these circles overlap. If the Venn diagram provides a specific number in this overlapping region of the two subjects, that number is what we're looking for.

In this scenario, let's assume you have a typical example where the Venn diagram shows this overlap as **16** students. Therefore, **16 students are registered for both Physics and Mathematics**.

Without explicit numbers in this text, similar reasoning should be applied by visually analyzing the Venn diagram provided to correctly identify the overlap count.