Remember "Wag The Dog?" This is FLAG The Dog!
At about 50 seconds into the above video, you see the supposed Libyan National Transitional Council celebrating in the Green Square, and waving flags!
THIS is the flag of the National Transitional Council, recognized by the US as the "legitimate" government of Libya (even though they are not elected).
It looks like BBC couldn't find any celebrating Libyans, so they used an old shot of celebrating Indians and bet that we were too stupid to notice, just like they bet we were too stupid to notice when BBC reported the collapse of World Trade Center building 7 before it actually happened!