Which of the following diagrams indicates the best relation between Boys,…

Concept: To choose the diagram that best fits three classes, work out each pair's real relationship first - completely separate (no members in common), fully contained (every member of one is also a member of the other), or partly overlapping (some, not all, members in common) - then match the one diagram whose circles show exactly that pattern for every pair at once.

Application: Work out each pair among Boys, Girls and Students one at a time:

1. Boys and Girls: no person is counted in both classes at once, so these two are completely separate - their circles must never touch.

2. Boys and Students: some boys are students and some boys are not (for example, those below school age or not enrolled), and some students are not boys either - so these two only partly overlap.

3. Girls and Students: by the same reasoning, these two also only partly overlap - neither is fully inside the other, and neither is fully separate from the other.

Putting it together: So Boys and Girls must be drawn as two circles that never touch each other, and a separate circle for Students must overlap each of them individually without fully containing either one. That is a chain of three circles, one on each side touching only the middle one - not a set of circles nested inside each other, and not two circles overlapping each other while both sit inside a third.

Contrast: Checking the other patterns against this:

• A diagram where one circle sits fully inside another and a third circle stands completely apart from both is too extreme in both directions - it shows one pair as total containment and the other as total separation, when the real pattern here is partial overlap, not total containment.

• A diagram where all three circles are nested fully inside one another (like a target) assumes a strict containment chain across all three classes - but Boys and Girls share no members at all, so no full nesting can fit.

• A diagram where two circles overlap each other and both sit fully inside a third, larger circle wrongly treats the mutually exclusive pair as if they share members - Boys and Girls never do, so those two circles should never overlap each other.

Answer: So the correct diagram is the one showing Boys and Girls as two separate, non-touching circles, each of which partially overlaps a third circle representing Students standing between them.