PHP allows you to count recursively:
$a = [
'foo' => [ 1, 2, 3],
'bar' => [4, 5, 6]
];
print count($a);
// 2
print count($a, COUNT_RECURSIVE);
// 8
So a 2-dimensional array can be easily counted like:
$a = [
'foo' => [ 1, 2, 3],
'bar' => [4, 5, 6]
];
print count($a, COUNT_RECURSIVE) - count($a);
// 6