Consider the following statement.
$\forall$ integer $n$, if $n$ is divisible by 6, then $n$ is divisible by 2 and $n$ is divisible by 3.
Which of the following is a negation for the statement?
$\forall$ integer $n$, if $n$ is divisible by 6, then $n$ is not divisible by 2 or $n$ is not divisible by 3.
$\forall$ integer $n$, if $n$ is divisible by 2 and $n$ is divisible by 3, then $n$ is not divisible by 6.
$\exists$ an integer $n$ such that $n$ is not divisible by 6 and $n$ is divisible by 2 and $n$ is divisible by 3.
$\exists$ an integer $n$ such that $n$ is divisible by 6 and either $n$ is not divisible by 2 or $n$ is not divisible by 3.
$\exists$ an integer $n$ such that $n$ is not divisible by 6 and either $n$ is not divisible by 2 or $n$ is not divisible by 3.