I don't have the answer to this, but lets see what this forum can come up with. This is for Omaha hi only. If we get any action on this post, I will do one for the Omaha/8ers on the board.

1) What is the maximum number of outs that you can have ON THE FLOP to the nuts WITHOUT having so much as a pair?

2) What is the maximum number of outs that you can have ON THE TURN to the nuts WITHOUT having so much as a pair?

The turn board does NOT have to be an extension of the flop board.

Examples of course would be nice so here is what I came up with.

1) on a board for 8 flush outs and 13 straight outs for 21 outs.

2) on a board for 2 str8 flush outs, 7 flush outs and 10 straight outs for 19 outs.

Tom

Please feel free to check my math or post better examples.