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This feature has four problems for you to solve, all with a festive twist!
problem
Amicable arrangements
Age
16 to 18
Challenge level
Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?
problem
A very shiny nose?
Age
16 to 18
Challenge level
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.
problem
The Koch snowflake
Age
16 to 18
Challenge level
Explore the strange geometrical properties of the Koch Snowflake.
problem
Frosty the Snowman
Age
16 to 18
Challenge level
Frosty the Snowman is melting. Can you use your knowledge of differential equations to find out how his volume changes as he shrinks?