Cooch Behar (princely state)
Until 1949, Cooch Behar was a princely state subject to British rule. In 1949, it was merged with India; now free from the British. It later became a part of West Bengal.  However, if Cooch Behar had become part of East Pakistan, then India would not have had as much land access towards the north-east.  Also the former East Pakistan (now Bangladesh) would have land borders with Nepal, Bhutan and Sikkim.