12 Days of Xmas: How Many Gifts?

A new take on a classic Christmas carol from Olaf, one of our top Maths tutors. In the song The Twelve Days of Christmas the narrator lists all the gifts their true love has given them. The song raises a few questions - not least of which the morality and legality of giving lords and milkmaids as ‘gifts’ - but today I’m just going to look at one of them: how many gifts were given altogether? Well, on the first day there was a single gift: a partridge in a pear tree (let’s assume the partridge is

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