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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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regular shapes
floors
people maths
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lines
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trigonometry
consecutive numbers
determinants
routes
hexagons
triangle numbers
quadrilaterals
rugby
factorials
scales
the only crossnumber
tournaments
coins
averages
calculus
integration
shapes
crosswords
dodecagons
binary
colouring
christmas
dominos
gerrymandering
angles
crossnumbers
speed
products
odd numbers
shape
partitions
elections
factors
taxicab geometry
grids
money
area
perimeter
chocolate
crossnumber
doubling
folding tube maps
median
graphs
ave
numbers
albgebra
wordplay
number
planes
digital clocks
menace
cryptic clues
unit fractions
ellipses
spheres
surds
probabilty
sum to infinity
time
consecutive integers
means
volume
rectangles
coordinates
squares
range
palindromes
cryptic crossnumbers
prime numbers
star numbers
perfect numbers
combinatorics
square roots
percentages
chess
dice
cube numbers
matrices
probability
pentagons
books
clocks
games
arrows
proportion
division
geometry
pascal's triangle
mean
sport
digits
axes
functions
tangents
decahedra
addition
digital products
balancing
sums
2d shapes
square numbers
cards
even numbers
tiling
complex numbers
polynomials
circles
sets
irreducible numbers
bases
multiples
fractions
logic
advent
geometric means
parabolas
symmetry
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geometric mean
dates
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integers
quadratics
indices
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multiplication
chalkdust crossnumber
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