# Category Archives: Number theory, combinatorics

# Your memorial at CoLA

*The library of maths books at the CoLA Sixth Form building will commemorate our Further Maths students over recent years, and some recent CoLA maths teachers leaving in July 2018, each with a book inscribed for her or him.* Continue reading

# Maths prize puzzle for 21 July 2018: cake numbers

# Three and four-dimensional noughts and crosses

# STEP I-2012-13

Question: I choose at random an integer in the range 10000 to 99999, all choices being equally likely. Given that my choice does not contain the digits 0, 6, 7, 8 or 9, show that the expected number of different digits in my choice is 3.3616. Continue reading