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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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palindromes
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christmas
coordinates
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star numbers
rectangles
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digital products
spheres
arrows
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factors
tiling
lines
perimeter
bases
pascal's triangle
axes
surds
taxicab geometry
median
binary
doubling
floors
sport
the only crossnumber
angles
indices
sums
shapes
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circles
crosswords
sequences
polygons
crossnumbers
crossnumber
irreducible numbers
division
sets
scales
books
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elections
consecutive integers
chess
trigonometry
complex numbers
expansions
geometry
gerrymandering
dominos
determinants
mean
cryptic clues
ellipses
range
square roots
shape
ave
consecutive numbers
integration
polynomials
remainders
probabilty
speed
fractions
digits
hexagons
odd numbers
even numbers
pentagons
rugby
cubics
products
differentiation
games
functions
sum to infinity
2d shapes
prime numbers
cards
squares
colouring
people maths
integers
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chalkdust crossnumber
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square numbers
multiples
routes
3d shapes
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averages
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