What is the total number of ways in which the poker hand is full of house that is you have to pick 5 cards out of 52 cards such that it contains exactly 3 cards with the same value.
Example a card consisting of 3 sixes and 1 king and 1 queen is a full of house.
And my solution is for the first 2 card can be different and rest of remaining cards needed to be same
13*12*11 = 1716
I think my approach is wrong as the answer given in the book is 3744.
Can someone tell me what I am missing and how can I extend this to pick 5 card such that atleast 3 of them have the same value.