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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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ave
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3d shapes
dates
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square numbers
probability
perimeter
the only crossnumber
digital products
money
spheres
xor
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angles
shape
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binary
area
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scales
volume
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prime numbers
products
chalkdust crossnumber
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coins
averages
arrows
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sequences
square grids
functions
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consecutive numbers
matrices
lists
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taxicab geometry
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calculus
mean
pascal's triangle
people maths
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