I've been going for 5 years now and there hasn't been any limit on the number of balls you can check in.  Bring as many as you are willing to carry.
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Dan Chambers
www.absolutebowling.com

Thanks, I was half way through typing when I thought maybe I was thinking of our state tournament. I think they allow only 4 balls.
My 1st time in the Stadium,(this is my 3rd) you had to carry everything to your lanes. They wouldn't let you roll a bag down the ramp. You had to get a locker or leave your bag in the squad room (at your own risk).
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Member since 3/20/2001