The posting mentioned "I am having problems with permissions for an application in my /Applications directory"; what are those permissions settings, and what are the problems, or diagnostics or errors that are being reported? (Without these sorts of these, well, arcane details, there's a near-infinite range of triggers and symptoms and potential error diagnostics, unfortunately.)
For this application, please post the output from +ls -ale@+ for /Applications/Utilities/ (just for the QT7 player entry, I don't care about the rest of the stuff stored in there) and another +ls -ale@+ for the top of the /Applications/Utilities/Quicktime Player 7.app bundle, or where ever you have that app stashed. (The backslash character escapes the space character for the shell.)
(Are you familiar with bundles? If not, the GUI presents a directory bundle as an opaque wad of an application, where bash will show a bundle as a directory tree.)
Here's what the top of the app bundle looks like around here:
$ ls -ale /applications/utilities/
...
drwxr-xr-x 3 root wheel 102 Jun 20 14:14 QuickTime Player 7.app
...
$ ls -ale /applications/utilities/Q*
total 0
drwxr-xr-x 3 root wheel 102 Jun 20 14:14 .
drwxrwxr-x+ 40 root admin 1360 Aug 25 18:39 ..
0: group:everyone deny delete
drwxr-xr-x 10 root wheel 340 Jun 20 14:10 Contents