eeeeeLet R$($A$,$ B$,$C$),$ S $($B$,$ D$),$ and T $($A$,$C$)$ be relation schemas such that relation R of schema R has r tuples, relation S of schema S has s tuples, and relation T of schema T has t tuples with r $>0,$ s $>0,$ and t $>0.$ The attributes A$,$ B$,$ C$,$ and D are supposed to have the same numerical data type. Consider the given Relational Algebra expressions below and determine the minimum number and the maximum number of possible tuples of each result relation. Explain your answers.

$($c$)\backslash$pi B$(\backslash$pi B$($R$)\backslash$cup $\backslash$pi B$($S$))($For this question, also consider three other possible distinctions of numbers of tuples beside the minimum and maximum number of tuples.$)$

$($d$)$ R $-$: T