The diagram given below represents those students who play Cricket, Football…

In a diagram made of overlapping rectangles, each small region belongs to exactly the sets whose rectangles physically cover it. A region that lies inside all three rectangles at the same time represents the elements common to all three sets.

Since the question asks for students who play all three games, the region that must be picked is the one enclosed by all three rectangles at once — and per the table above, that region is S.

• P + Q + R: all three of these regions lie only within the Football and/or Kabaddi rectangles and never touch the Cricket rectangle, so this sum represents students linked to at most two of the three sports, never all three.

• V + T: V is the Football-Cricket overlap outside Kabaddi, and T is the Kabaddi-Cricket overlap outside Football; each individually leaves out one of the three sports, so adding these two two-sport zones still fails to capture students common to all three games.

• S + T + V: T and V are each two-sport overlaps - one between Kabaddi and Cricket, the other between Football and Cricket - so folding them into the sum pulls in students missing one of the three sports; the combined total is wider than the exact set of triple-sport players the question asks for.

• S is exactly the region enclosed by the Football, Kabaddi and Cricket rectangles at the same time, matching the requirement precisely.