mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2023
17 December
All 2023 advent puzzles
~
More information
If you expand \((a+b+c)^2\), you get \(a^2+b^2+c^2+2ab+2ac+2bc\). This has 6 terms.
How many terms does the expansion of \((a+b+c+d+e+f)^5\) have?
Show answer
Hide answer
\((a+b+c+d+e+f)^5\) has
252
terms.
Tags:
algebra
,
expansions
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
xor
percentages
probability
median
gerrymandering
bases
crossnumbers
multiplication
surds
complex numbers
angles
cubics
matrices
dodecagons
coins
factors
pascal's triangle
fractions
parabolas
means
perfect numbers
books
volume
chess
albgebra
addition
numbers
clocks
cube numbers
powers
geometric mean
unit fractions
palindromes
prime numbers
sequences
menace
odd numbers
time
combinatorics
square roots
perimeter
cryptic clues
integration
square grids
consecutive numbers
consecutive integers
shapes
hexagons
rugby
even numbers
tournaments
wordplay
area
functions
multiplaction squares
geometric means
irreducible numbers
planes
christmas
quadrilaterals
logic
sum to infinity
sport
2d shapes
graphs
trigonometry
decahedra
folding tube maps
routes
tangents
chalkdust crossnumber
grids
3d shapes
digits
crosswords
floors
people maths
doubling
speed
prime factors
digital clocks
scales
ellipses
probabilty
partitions
dates
lines
games
circles
polynomials
number
sums
symmetry
star numbers
division
algebra
square numbers
coordinates
remainders
proportion
expansions
squares
determinants
multiples
polygons
ave
mean
tiling
products
cards
colouring
chocolate
balancing
pentagons
factorials
axes
neighbours
dice
calculus
lists
integers
averages
spheres
rectangles
geometry
the only crossnumber
dominos
differentiation
range
taxicab geometry
shape
elections
advent
digital products
binary
triangles
medians
indices
quadratics
sets
triangle numbers
arrows
money
cryptic crossnumbers
regular shapes
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
range
regular shapes
partitions
tournaments
the only crossnumber
square numbers
triangle numbers
planes
triangles
wordplay
cubics
mean
digital products
colouring
unit fractions
expansions
lines
circles
medians
cards
dodecagons
addition
multiplication
elections
clocks
indices
volume
lists
neighbours
irreducible numbers
powers
parabolas
shape
time
crosswords
floors
numbers
people maths
proportion
square roots
rectangles
digits
arrows
prime numbers
sums
cryptic crossnumbers
pentagons
angles
games
2d shapes
differentiation
probabilty
perfect numbers
polynomials
median
means
dice
cube numbers
area
speed
axes
square grids
shapes
rugby
pascal's triangle
factorials
logic
dates
taxicab geometry
palindromes
remainders
tiling
factors
crossnumbers
xor
chess
spheres
decahedra
digital clocks
graphs
complex numbers
symmetry
functions
money
probability
even numbers
trigonometry
bases
coins
coordinates
dominos
quadrilaterals
geometry
number
doubling
integration
3d shapes
quadratics
surds
multiplaction squares
binary
chalkdust crossnumber
geometric means
ave
multiples
products
polygons
scales
hexagons
sum to infinity
determinants
squares
geometric mean
matrices
books
christmas
gerrymandering
division
percentages
sequences
albgebra
odd numbers
consecutive integers
star numbers
fractions
tangents
sets
cryptic clues
folding tube maps
combinatorics
ellipses
chocolate
prime factors
averages
menace
integers
routes
perimeter
calculus
algebra
sport
balancing
advent
grids
consecutive numbers
© Matthew Scroggs 2012–2026