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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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Most recent collections
Advent calendar 2020
Advent calendar 2019
Sunday Afternoon Maths LXVII
Coloured weights
Not Roman numerals
Advent calendar 2018
List of all puzzles
Tags
speed
colouring
integration
chalkdust crossnumber
multiplication
indices
shapes
averages
differentiation
3d shapes
proportion
tiling
factors
pascal's triangle
integers
polygons
combinatorics
angles
folding tube maps
dice
regular shapes
christmas
surds
digits
square roots
calculus
dodecagons
sequences
clocks
cryptic clues
number
sport
mean
planes
grids
ave
irreducible numbers
advent
graphs
numbers
cryptic crossnumbers
books
means
coordinates
money
bases
doubling
wordplay
remainders
prime numbers
chess
volume
taxicab geometry
quadrilaterals
2d shapes
median
cards
division
coins
floors
multiples
factorials
elections
probability
circles
geometry
range
perfect numbers
scales
logic
chocolate
fractions
rectangles
parabolas
menace
area
routes
perimeter
hexagons
partitions
products
dominos
arrows
the only crossnumber
sums
games
squares
rugby
complex numbers
spheres
unit fractions
algebra
gerrymandering
crossnumber
addition
shape
digital clocks
odd numbers
crossnumbers
dates
triangles
cube numbers
quadratics
time
ellipses
percentages
symmetry
trigonometry
star numbers
crosswords
people maths
palindromes
functions
sum to infinity
triangle numbers
lines
probabilty
square numbers
balancing
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