Question 31456
After taking out those cards you have a deck with 40 cards 
There are 10 different cards.
To figure the probability:
pick a card type:   10 ways
Now pick 3 of the 4 cards of that type: 4C3=4 ways
Pick another card type: 9 ways
Now pick 2 of the 4 card of that type: 4C2=6 ways
So, number of ways to succeed is 10*4*9*6=2160

Now figure the total number of 5 card hands in a deck of 40 cards:
40C5= 658008 different hands
Prob of a full house with the special deck = 2160/658008=0.00328...
Cheers,
Stan H.