I was flabbergasted to read the following information. Though many a time I used to get confused with the two terms "British India" and "Princely State", I learnt that they are mutually exclusive. If somewhere was in British India it was not a Princely State, and if it was a Princely State it was not in British India. British India was Bombay, Sind, British Baluchistan, North West Frontier Province, Punjab, United Provinces, Central Provinces, Madras, Bihar, Orissa, Bengal and Assam.
What surprised me even more was that there existed 140 large, and 420 small states that made up the rest of India were not part of British India.
Read on more here for more interesting stuff