Brownings have usually a 3 or 4 shot clip depends on calibur. Floor plate opens and clip attaches to it. No need for more shells than that. Hinged plate

Never had a problem with either. Not a factor in my choice of guns.

I prefer the hinged floor plate. I never had any customers come into my store (when I still ran it) with a damaged hinged floor plate, but I've had alot come in in the middle of deer season in a panic looking for a replacement magazine. One guy was so careless with his that he always carried three!

Hinged floor plate.

Both of my big game rifles have neither!

Sorry to stradel the fence but the detachable mags like the 742 or 7400 cause a lot of problems and I have also seen the model 77 Ruger not feed when the bullets are just dropped in through the bottom.. Sorry, Browning is usually the best out of the box there is.

I'm with the Albertan up there: the magazines are handier if you're hunting several properties in a day (driving deer, for example). Trying to get the cartridges out neatly with a floor plate is a mess. I went with a blind. Ultimately, I would have gone with any type of magazine, because there were other factors driving which rifle I bought, but I've found it to be a good compromise for the following reasons:
1.)The underside of my rifle is smooth, with no odd bulges to consider when steadying for a shot.
2.) As mentioned above, the cartridges come out somewhat neatly. (A floor plate might be quicker overall, but it's easy to drop all the cartridges when loading/unloading (or at least I've seen folks do it a bunch, including folks far more coordinated than me).)
3.) There are fewer moving parts to fail. I figure if anything in the mag ever breaks, it will be harder for the gunsmith to get in there to fix it, but that's life.
4.) You can't misplace it, the way you can misplace a magazine. Granted, I can still lose the cartridges, but there are a few of them, and I usually have a couple of extras stashed in another pocket, which is all you need in a pinch, really.

it dont mater to me i can be happy with either set up

Not a factor for me. I have to shoot my AR-15 with a mag and that is the best way to get access to 30 shots. However, I am limited to 5 round mags for hunting so I don't feel I get any benefit from the mags. Magazines can and do cause problems so I generlly avoid them. Most of my hunting rifles have floorplate openers but I have never opened one on any of my rifles.

I had a detachable on my Remington 760 270 win. There were times it didn't stay in and caused problems. My new Tikka T3 has a detachable mag and it has been fine.

Personally I have never had a hinge plate but I think it would be a nuisance to me. I like the soeed and ease of taking it out before I get in the truck.

None of my rifles were chosen for purchase or use in the field based on the magazine. I don't consider a detachable magazine an asset in a bolt action rifle, and my bolt action rifles have a hinged floorplate or a blind magazine. My bolt-action varminters are used almost exclusively as single-shot rifles. The Springfield M1A, an autoloader, does employ a detachable magazine and it is a design of proven reliability. I regard it as a good choice, not because of the detachable magazine, but possibly in spite of it (though a 5-shot magazine is almost flush with the bottom of the piece). From a purely aesthetic viewpoint, I normally don't consider a detachable magazine classically attractive, nor do I consider it any more reliable that an enclosed magazine with follower and hinged floorplate.