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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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squares
spheres
advent
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people maths
cards
integers
quadrilaterals
surds
perfect numbers
square numbers
crossnumbers
algebra
median
ave
books
dice
digital clocks
multiplaction squares
speed
doubling
area
sum to infinity
gerrymandering
addition
geometric means
percentages
factors
probability
multiples
palindromes
fractions
mean
symmetry
taxicab geometry
2d shapes
square grids
christmas
digits
geometry
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elections
number
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coins
hexagons
axes
star numbers
time
partitions
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unit fractions
tangents
proportion
floors
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colouring
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folding tube maps
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