Researching a New 45-card game

I would greatly appreciate it if anyone could help me figure out the odds for a new poker-style game comprised of a 45-card deck with 5 suits of 9 cards each. I need to know the number of combinations for each possible 5-card hand: no pair, one pair, two pair, 3 of a kind, 5-card straight, 5-card flush, Full house, 4 of a kind, 5 of a kind, and straight flush. Thanks!

That should be easy to do. May I ask what game this is?

Quote: laird72

I would greatly appreciate it if anyone could help me figure out the odds for a new poker-style game comprised of a 45-card deck with 5 suits of 9 cards each. I need to know the number of combinations for each possible 5-card hand: no pair, one pair, two pair, 3 of a kind, 5-card straight, 5-card flush, Full house, 4 of a kind, 5 of a kind, and straight flush. Thanks!

Here are my combinations if 67891 is not a straight:
no pair: 377,520
one pair: 630,000
two pair: 126,000
3 of a kind: 63,000
5-card straight: 15,600
5-card flush: 605
Full house: 7,200
4 of a kind: 1,800
5 of a kind: 9
straight flush: 25

Here are my combinations if 67891 is a straight:
no pair: 374,400
one pair: 630,000
two pair: 126,000
3 of a kind: 63,000
5-card straight: 18,720
5-card flush: 600
Full house: 7,200
4 of a kind: 1,800
5 of a kind: 9
straight flush: 30

What is the fifth suit?

Quote: NicksGamingStuff

What is the fifth suit?

Trumps? I assume this is a game you are designing. If so, good luck with it. I think the novelty of a fifth suit would be a bit off-putting but good luck.

Thanks ChesterDog! At first, the results you provided were surprising to someone so accustomed to the odds of the various ranked hands in a standard 52-card poker game, but after giving your figures some thought, they do make sense. Thanks again!

FleaStiff & NicksGamingStuff, the suits are not your standard Club, Hearts, Diamonds, Spades. Though I haven't got many details yet from the trainers at the indian casino where I work, what I hear is that this game is loosely based on a native american variation of poker played with tiles or domino-like pieces. it sounds very strange to me and I'm doubtful that it will catch on. Apparently, the nine ranked cards per suit are represented by letters that have a numerical value, rather than by numbers themselves. These letters can be used to spell specific words that somehow affect game-play. I've also heard that the play is similar to texas hold'em in most respects except that during the last round of betting, all players must turn up one hole card (or tile) of their choice. Weird, huh?

Quote: FleaStiff

I think the novelty of a fifth suit would be a bit off-putting but good luck.

Personally, I think that a flush ranking higher than both a Full House and Four Of A Kind will be the most troubling thing for players to get used to.