Problem $3.$ Assume that $(EEx)(EEy)[P(x,y)]$ is false $($and the

universe of discourse is non$-$empty$).$ Which of the following must

also be false $($regardless of what the universe of discourse is$)?$

$($a$)(EEx)(AAy)[P(x,y)]$

$($b$)(AAx)(EEy)[P(x,y)]$

$($c$)(AAx)(AAy)[P(x,y)]$