Try this:
You can use NSKeyedArchiver to write out your dictionary to an NSData, which you can store among the preferences.
NSData *data = [NSKeyedArchiver archivedDataWithRootObject:self.selectedOptionPositions];
[[NSUserDefaults standardUserDefaults] setObject:data forKey:PREF_OPTIONS_KEY];
For retrieving data:
NSData *dictionaryData = [defaults objectForKey:PREF_OPTIONS_KEY];
NSDictionary *dictionary = [NSKeyedUnarchiver unarchiveObjectWithData:dictionaryData];
As in the iOS Developer Documentation for NSKeyedArchiver it says that:
NSKeyedArchiver, a concrete subclass of NSCoder, provides a way to encode objects (and scalar values) into an architecture-independent format that can be stored in a file. When you archive a set of objects, the class information and instance variables for each object are written to the archive. NSKeyedArchiver’s companion class, NSKeyedUnarchiver, decodes the data in an archive and creates a set of objects equivalent to the original set.