Math: Challenging "Combinations" problems

[kingwinner]

I got some extremely challenging "Combinations" problems, I am freaking out! I simply don't have the clue of how to approach such problems. It's really too hard for me, but I will try to learn it! Please help me, you "Combinations" experts :D

 

1) How many different 5-card poker hands contain a three-of-a-kind in Aces and two cards of other ranks?

 

[My first questions is, can the last two cards have the same rank (e.x. 7) as each other as soon as they are not Ace? But no matter the answer to above is yes or no, I still don't know how to do it! :hihi: ]

 

2) How many different poker hands are there that contain a full house? (Full house-3 cards of the same rank, 2 other cards of the same rank as each other)

 

3) Find the number of poker hands that contain only a straight, not a royal or straight flush.

(Straight-5 consecutive cards, not all the same suit

Royal Flush- AKQJ10 of one suit

Straight flush-5 consecutive cards of one suit, Aces can't be the high card, but can be A2345

[C1ay]

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