allow non administrators to install adobe flash

Other than the way you have described, there is no way I know of to instal Flash Player without being adminstrator. I usually turn off updates to Flash so it doesn't come up in normal work.
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There is a small work around if you are up for it.
Swiff player is a stand alone flash player, give it to each of your users and they wont need to use adobe unless online.
http://www.globfx.com/products/swfplayer/
or Applian FLV Player
http://www.applian.com/flvplayer/
I have also noticed the frequent requests from Adobe for updates for it's flash player. Seem endless.

The flashplugin for browser is actually a single dll file (NPSWF32.dll). Exactly where it has to be placed depends upon which browser you are using, and where it is installed.
See: http://my.opera.com/tamil/blog/how-to-install-flash-player for Opera.
For firefox the path should be C:\Program Files\Mozilla Firefox\plugins (source: http://www.howtogeek.com/howto/internet/firefox/install-flash-plugin-manually-in-firefox-on-vista/ )
For IE it will be Program Files/Internet Explorer/Plugin
So, you can easily create a self extracting archive (SFX) or an installer to do this.
References: http://www.ehow.com/how_5052562_install-flash-player-administrator-rights.html
http://www.ghacks.net/2010/11/06/how-to-install-flash-player-without-admin-rights/

i have not had time yet to look at these possible solutions but should have time this week.

pallab_sonai, I followed the instructions from the ehow website on how to do this but I don't know how to download the archived Flash Player plugin from Adobe's website.  I can download flash as an msi or exe but I cannot figure out how to download it as an archived (xpi) file.  How do I do this?

Thanks for your help.

Is this what you are looking for?
http://fpdownload.macromedia.com/get/flashplayer/xpi/current/flashplayer-win.xpi
Otherwise, I think you can extract the exe using Universal extractor.

Priveledge authority works great for allow non administrators to install adobe flash updates if you are using windows xp.  However, it does not work with Windows 7 because of the UAC I believe.  Does anyone know of a way to modify the priveledge authority rules so that it will work with Windows 7?  Thanks.