A darts game at a funfair is made from a 3 x 3 grid of identical squares. To play the game, you buy 3 darts for $2 and win if your total score is more than 45. What is the probability of winning at this game.

5 4 3
19 20 18
9 10 11


a) list all winning combinations if one space can only take one dart?
b) How many possible winning combinations could there be if one space can only take one dart?
c) How many possible winning combinations could there be is more than one dart can occupy one space?

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I know there is 504 different combinations. But I don't know how to figure out how many possible winning combinations there are.

A darts game at a funfair is made from a 3 x 3 grid of identical squares. To play the game, you buy 3 darts for $2 and win if your total score is more than 45. What is the probability of winning at this game.

5 4 3
19 20 18
9 10 11


a) list all winning combinations if one space can only take one dart?
b) How many possible winning combinations could there be if one space can only take one dart?
c) How many possible winning combinations could there be is more than one dart can occupy one space?

I have a question similar to this can anyone tell me a quick and easy way to work out the combinations?

Thanks