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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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unit fractions
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factors
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algebra
logic
rugby
consecutive numbers
squares
indices
probabilty
spheres
binary
even numbers
wordplay
chess
trigonometry
polynomials
cubics
tiling
factorials
numbers
polygons
dice
proportion
balancing
bases
grids
dodecagons
percentages
probability
quadrilaterals
geometric means
products
colouring
3d shapes
sets
triangle numbers
books
digits
triangles
menace
elections
gerrymandering
complex numbers
axes
geometry
ellipses
symmetry
multiples
people maths
sum to infinity
albgebra
functions
means
time
integration
square roots
2d shapes
differentiation
integers
tournaments
square numbers
angles
parabolas
christmas
shapes
matrices
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lines
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expansions
decahedra
floors
calculus
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chocolate
hexagons
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ave
crossnumber
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