Considering they stayed there for about a hundred years or more and installed a government that lasted 89 years, there should be some large number here but it doesn't seem like it was very common.
Brits of what I would describe as Officer status tended to stop marrying Indians around the period from 1815-1825, ish. Before then it was very common, including Indian men marrying British women. Indeed, until the mid-Eighteenth century nearly all Brits in India who married would have married an Indian or an Anglo-Indian, or a "Portuguese", by which they meant somebody who was genuinely Portuguese, or who was an Indian Christian, who were mostly descendants of earlier Portuguese. By the 1820s more British women were coming to India, and there was also more chance of Brits being able to seriously consider the chance of coming home to Britain rather than dying in India. Consequently, marrying another Brit became both more possible and, possibly, more desirable. Certainly, by the 1830s Officer Class Brits were most unlikely to marry an Indian. Brits of lower status never stopped marrying Indians, or Anglo-Indians, right up to the end of British India. http://www.amazon.co.uk/White-Mughals-Betrayal-18th-century-Eighteenth-century/dp/0006550967 is pretty good on this area.