Answer
C(12,1)C(4,3)C(11,2)C(4,1)C(4,1)
Work Step by Step
"Alternatives" imply the addition principle
"Sequence of steps" implies the multiplication principle
STEP 1 : select a denomination (not Aces, so 12 to choose from) ...C(12,1)
STEP 2 : select 3 (out of 4 cards of that denomination) ...C(4,3)
STEP 3 : select 2 different denominations from the remaining 11 ... C(11,2)
STEP 4 : select 1 card of the 1st denomination chosen in (3) ...C(4,1)
STEP 5 : select 1 card of the 2nd denomination chosen in (3)...C(4,1)
TOTAL: (multiplication principle) = C(12,1)C(4,3)C(11,2)C(4,1)C(4,1)
