Please answer a question about the following article about Eton College:

Eton is one of ten English HMC schools, commonly referred to as "public schools", regulated by the Public Schools Act of 1868. Following the public school tradition, Eton is a full boarding school, which means all pupils live at the school, and it is one of four such remaining single-sex boys' public schools in the United Kingdom (the others being Harrow, Radley, and Winchester) to continue this practice. Eton has educated 19 British prime ministers and generations of the aristocracy and has been referred to as the chief nurse of England's statesmen. Charging up to £11,478 per term (there are three terms per academic year) in 2014/15, Eton is the sixth most expensive HMC boarding school in the UK.

How many all-male boarding schools exist in the UK?
four