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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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medians
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ellipses
cryptic crossnumbers
area
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averages
3d shapes
indices
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chalkdust crossnumber
remainders
numbers
shapes
sets
multiples
chess
speed
odd numbers
routes
books
square grids
colouring
palindromes
range
binary
multiplication
crossnumbers
complex numbers
coordinates
gerrymandering
graphs
planes
integration
volume
doubling
perimeter
pentagons
ave
taxicab geometry
quadratics
games
cube numbers
digital clocks
axes
digits
menace
clocks
products
combinatorics
pascal's triangle
factors
neighbours
factorials
decahedra
geometry
tiling
sport
surds
symmetry
sums
cubics
addition
angles
means
dice
partitions
coins
digital products
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folding tube maps
dominos
bases
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