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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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pentagons
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medians
cryptic clues
tournaments
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bases
square grids
taxicab geometry
quadratics
cubics
grids
averages
products
star numbers
books
sport
median
quadrilaterals
scales
time
partitions
2d shapes
matrices
balancing
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consecutive numbers
triangle numbers
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division
speed
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percentages
ave
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tangents
geometry
colouring
odd numbers
shape
menace
perfect numbers
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prime numbers
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neighbours
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