Answer: 3744
Step-by-step explanation:
Given : Total card in a deck = 52
The total number of ranks in a deck = 13
Then, the number ways to select a rank = 13
One rank = 4 cards of same rank.
Now, first we need to select two cards of same rank then, the number of ways for this = [tex]^4C_2=\dfrac{4!}{2!(4-2)!}=6[/tex]
Now, the remaining ranks = 12
Again, The number ways to select a rank = 12
Next , we need to select 2 cards of same rank then, the number of ways for this = [tex]^4C_1=\dfrac{4!}{1!(4-1)!}=4[/tex]
Now, the number of different full house hands are there :_
[tex]13\times6\times12\times4=3744[/tex]
