Answer:
Let's generalise to h
Hearts, d
Diamonds, c
Clubs and s
Spades drawn from a standard deck.
These can be drawn in (13h)(13d)(13c)(13s)
ways where (13n)=13!(13−n)!n!
is the number of ways of selecting n
cards from 13
cards.
There are (52h+d+c+s)
total ways of drawing the hand from the deck.
I leave it as an exercise for the reader to calculate the values for h=d=3
and c=s=2
, or any other combination they care to consider
Explanation: