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Advent calendar 2018
18 December
All 2018 advent puzzles
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There are 6 terms in the expansion of \((x+y+z)^2\):
$$(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2xz$$
Today's number is number of terms in the expansion of \((x+y+z)^{16}\).
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153
In general, the expansion of \((x+y+z)^n\) will have \(\frac12n(n-1)\) terms.
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books
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christmas
differentiation
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fractions
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mean
symmetry
arrows
functions
tournaments
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colouring
chocolate
triangle numbers
polygons
square roots
parabolas
sums
triangles
multiples
consecutive numbers
decahedra
cards
albgebra
dates
dodecagons
cryptic crossnumbers
money
ellipses
cryptic clues
chalkdust crossnumber
determinants
factors
gerrymandering
scales
square grids
median
quadratics
the only crossnumber
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folding tube maps
people maths
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angles
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