**straight flush odds**

What are the

odds of straigh flush when u have 56 diamons in your hand

I think the math works out the following way

There are 4 cases

56 789

56 234

56 478

56 347

Each of the case has the following odds

For 7 to hit it is 1/50

For 8 to hit it is 1/49

For 9 to hit it is 1/48

There are 5! Combinations for 5 cards on the board (5! = 1*2*3*4*5) = 120

And there are 4 cases (above)

So we have

(1/50 * 1/49*1/48 )* 120 * 4 = 0.4% = 1/245

Meaning 1 out of 245 hand will hit straight flush ?