Anyway, if you ask my opinion.
Giving the number and just go away and wait for here to show up could be succesfull. But I think it might go another way around. As I view the whole thing, it seems like you give a girl an option. She can contact you and is quite sure she can play around with you (option 1). On the other hand, she just can do whatever she want and meet up the whole evening with other guys and just don't contact you at all (option 2).
And as we know, woman are unpredictable. So yes, it could work if she likes you 'at the first sight'. But if she's going out with friends, I think the girl will just stay with here friends and feel no need to contact you. Cause you are giving her an option to 'play' with you, but she has to go away/ change her planes/leave her friends. So she can just stay there an meet up some other guys instead.
You say a lot in your opener that's succesfull, as you made the summary. But you don't have the time to make her comfort with you, to feel her attracted to you. It seems like you're just saying *wanne play, come over*.
Ok, this might be succesfull, i'm not saying that this set is screwing up everything. But I'll suppose you have a higher succesrate if try to make her comfort, feel good with you, and give her the time to feel attracted to you. Also, the men should be the leader. The whole thing depends on what choice she's making, you don't have any control on that.
Anyway, as I said, my opinion
