Think of a strong base like an open gate that lets everything through immediately, whereas a weak base is like a turnstile that lets ions pass only slowly and partially.

Remember strong bases via alkali metals: 'Na, K, Ca - Bases all the Way!'

When dissolved in water, $\text{NaOH}$undergoes complete ionization as $\text{NaOH}${(aq)} \rightarrow $\text{Na}^+${(aq)} + $\text{OH}^-$_{(aq)}. Because virtually no undissociated molecules remain, it acts as a strong electrolyte and a strong base.

Watch out for trick options where weak acids or weak bases are grouped with strong electrolytes in exam questions.