Explain the difference between an S corporation and a C corporation.

$($Select all the choices that apply.$)$

A$.$ C corporations must pay corporate income taxes; S corporations do not pay corporate taxes but must pass through the income to shareholders to whom it is taxable.

B$.$ S corporations must pay corporate income taxes; C corporations do not pay corporate taxes but must pass through the income to shareholders to whom it is taxable.

C$.$ Corporations are limited to $100$ shareholders and cannot have corporate or foreign stockholders.

D$.$ S corporations are limited to $1,00$ shareholders and cannot have corporate or foreign stockholders.