mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2018
18 December
All 2018 advent puzzles
~
More information
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 \((x+y+z)^{16}\).
Show answer
Hide answer
153
In general, the expansion of \((x+y+z)^n\) will have \(\frac12n(n-1)\) terms.
Tags:
algebra
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
graphs
quadratics
spheres
colouring
symmetry
percentages
sets
chocolate
polygons
factors
prime numbers
fractions
perfect numbers
cryptic crossnumbers
means
games
clocks
irreducible numbers
trigonometry
surds
sport
elections
integers
time
christmas
cryptic clues
arrows
differentiation
sum to infinity
range
median
remainders
ave
logic
probabilty
shape
square grids
axes
menace
triangle numbers
combinatorics
sequences
binary
lines
balancing
dice
crossnumbers
calculus
matrices
rugby
routes
chalkdust crossnumber
multiples
tangents
probability
wordplay
money
perimeter
numbers
expansions
averages
ellipses
dates
3d shapes
cube numbers
functions
cubics
partitions
consecutive numbers
neighbours
volume
rectangles
gerrymandering
numbers grids
circles
determinants
medians
products
books
regular shapes
tournaments
geometry
albgebra
addition
consecutive integers
people maths
division
decahedra
factorials
square roots
coins
planes
complex numbers
cards
sums
crosswords
dominos
odd numbers
grids
powers
square numbers
speed
geometric mean
area
mean
even numbers
hexagons
number
doubling
polynomials
proportion
advent
shapes
triangles
quadrilaterals
geometric means
2d shapes
parabolas
crossnumber
bases
pentagons
taxicab geometry
tiling
angles
folding tube maps
star numbers
digits
unit fractions
the only crossnumber
integration
floors
multiplication
digital clocks
squares
dodecagons
pascal's triangle
algebra
digital products
palindromes
indices
coordinates
chess
scales
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
money
expansions
fractions
squares
sequences
speed
volume
circles
complex numbers
scales
calculus
remainders
christmas
axes
averages
rectangles
shapes
proportion
digits
multiples
grids
advent
polygons
consecutive numbers
division
probability
geometric means
neighbours
unit fractions
square numbers
dice
menace
determinants
2d shapes
pascal's triangle
colouring
means
irreducible numbers
even numbers
chocolate
folding tube maps
binary
chess
3d shapes
crossnumber
planes
ave
cube numbers
matrices
floors
integers
digital products
perimeter
odd numbers
area
shape
percentages
coins
coordinates
people maths
palindromes
numbers grids
dodecagons
sums
dates
numbers
quadratics
time
factors
triangles
partitions
sum to infinity
multiplication
albgebra
crossnumbers
graphs
integration
factorials
median
tangents
dominos
cryptic crossnumbers
parabolas
gerrymandering
digital clocks
tournaments
cubics
sets
hexagons
crosswords
functions
the only crossnumber
mean
perfect numbers
decahedra
differentiation
number
wordplay
square roots
star numbers
pentagons
balancing
games
combinatorics
rugby
triangle numbers
chalkdust crossnumber
symmetry
lines
prime numbers
angles
ellipses
regular shapes
probabilty
cards
doubling
arrows
sport
bases
quadrilaterals
algebra
clocks
medians
powers
polynomials
logic
cryptic clues
range
addition
books
geometry
tiling
consecutive integers
taxicab geometry
square grids
elections
surds
routes
geometric mean
indices
spheres
products
trigonometry
© Matthew Scroggs 2012–2025