Choose the face value for the three cards any of 13 ways.
Choose the face value for the two cards any of 12 ways.
Choose the suits for the three cards any of 4C3 = 4 ways
Choose the suits for the two cards any of 4C2 = 6 ways.

Answer = 13*12*4*6 = 3744 full houses.

I assume you meant a standard 52-card deck.  You said 48-
card deck.  If that's what you meant, then explain what 
cards a 48-card deck has, and I'll re-do the problem for
such a non-standard deck.  You can tell me in the thank-
you note form below and I'll get back to you.

Edwin