JAMB Mathematics 2012 Paper

Concept:Use the inclusion-exclusion principle to find how many students play at least one sport, then subtract from the total.Explanation:Let $F$ represent football players and $V$ represent volleyball players.Given: $n(F) = 22$, $n(V) = 26$, and $n(F \cap V) = 3$.Number who play at least one game is $n(F \cup V) = n(F) + n(V) - n(F \cap V)$.So, $n(F \cup V) = 22 + 26 - 3 = 45$.Students who play neither game = total students - students who play at least one game.Therefore, $46 - 45 = 1$.Answer:A. 1