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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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people maths
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coins
palindromes
spheres
tangents
determinants
volume
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numbers grids
folding tube maps
sum to infinity
functions
complex numbers
integers
cube numbers
doubling
gerrymandering
division
surds
menace
algebra
taxicab geometry
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the only crossnumber
digital products
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graphs
money
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games
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chocolate
bases
scales
crossnumbers
grids
dodecagons
colouring
squares
geometric means
area
even numbers
clocks
advent
speed
parabolas
time
cryptic clues
mean
factors
tournaments
consecutive integers
axes
pentagons
crosswords
probability
polynomials
3d shapes
star numbers
cryptic crossnumbers
sport
differentiation
quadratics
digital clocks
calculus
ave
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multiples
proportion
means
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cubics
albgebra
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angles
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lines
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irreducible numbers
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