How do I calculate odds of straight draw with connectors on the flop?

[Stefan Prodan]

Title pretty much says it all. I haven't taken any class in combinatorics in awhile, and I'm having a hard time thinking about how to go about this.

So, of course, the total possibilities on the flop are (50c3), I realize that. The denominator is the easy part [img]/images/graemlins/smile.gif[/img].

I'm having a hard time figuring out the numerator here.

Take, for example, 89. If I have 89, I will need a flop containing either J7, 76, or JT.

Now, I can't decide if I should do this by subtracting the odds of NOT flopping a combination of two of the above cards from 1 or if I should do it by just adding up the possibitilies of flopping each one.

If possible, could you guys just give me some sort of "hints" instead of just explaining it to me outright at first?

I really wanna see if I can get this on my own, but it doesn't seem like I really can, and I do need a little help, but I'd like to see how much I can do.

If I get this, I'm trying next to calculate the odds of flopping at least a gutshot (including a flush draw).