Imagine you have six different colours of paint. You paint a cube
using a different colour for each of the six faces. How many
different cubes can be painted using the same set of six colours?
Explain why it is that when you throw two dice you are more likely to get a score of 9 than of 10. What about the case of 3 dice? Is a score of 9 more likely then a score of 10 with 3 dice?
How many tricolour flags are possible with 5 available colours such
that two adjacent stripes must NOT be the same colour. What about
This is my solution to the question "Lesser Digits" in "The
April Six". I sincerely hope that it is good enough to be published
on the web page. By the way, that web page is very interesting.
Numbers that do not contain any of the digits 7, 8 and 9
Nisha Doshi of the Mount School, York,
James Page, Jamie Arnall and Jack Adcock of
Hethersett High School, and Astee Goh and Teo Yea
Tian Raffles Girls' Primary School, Singapore sent good
solutions to this and Ian Green , age 13 of
Coopers Company and Coburn School, Upminster, Essex came very
close. There were many incorrect solutions sent in for this