Question 1126830
A.   C(4,3)*C(48,2) =  {{{ (4!/(3!*1!)) * (48!/(46!*2!)) = 4*1128 = highlight( 4512 ) }}}<br>

B.   C(4,3)*C(48,2)*C(13,1) = {{{ highlight( 58656 ) }}}
As "three of a kind" is a specific type of poker hand,  I should mention this answer includes full-houses  (where the non-triplicate cards match in rank).<br>

To exclude full-houses, note that there are  C(13,1)*C(4,3)*C(12,1)*C(4,2) = 3744 of them, so you would have 58656-3744 true "three of kind" poker hands.