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
binary
complex numbers
chalkdust crossnumber
colouring
square grids
digital clocks
shapes
geometric mean
regular shapes
surds
menace
angles
cubics
star numbers
powers
the only crossnumber
graphs
games
pentagons
geometry
money
range
squares
addition
unit fractions
chocolate
prime factors
clocks
pascal's triangle
cryptic crossnumbers
differentiation
symmetry
scales
neighbours
factorials
sums
indices
calculus
multiplication
irreducible numbers
axes
balancing
crossnumbers
christmas
decahedra
triangles
probabilty
3d shapes
median
ave
cards
algebra
matrices
geometric means
rectangles
volume
perfect numbers
division
proportion
tournaments
palindromes
probability
medians
folding tube maps
odd numbers
people maths
tangents
cube numbers
area
time
trigonometry
arrows
functions
mean
logic
square numbers
integers
numbers
quadrilaterals
doubling
sum to infinity
means
partitions
tiling
chess
coins
dice
triangle numbers
square roots
multiples
digits
bases
combinatorics
averages
routes
dates
grids
circles
quadratics
number
polygons
coordinates
products
digital products
even numbers
ellipses
dominos
speed
elections
percentages
sets
parabolas
expansions
shape
taxicab geometry
perimeter
lines
lists
multiplaction squares
fractions
crosswords
sequences
rugby
hexagons
sport
planes
remainders
consecutive integers
spheres
2d shapes
determinants
floors
dodecagons
advent
factors
gerrymandering
consecutive numbers
prime numbers
wordplay
polynomials
integration
albgebra
cryptic clues
xor
books
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
sum to infinity
median
regular shapes
arrows
rectangles
mean
cube numbers
algebra
perimeter
squares
irreducible numbers
products
gerrymandering
tiling
sets
folding tube maps
crosswords
lines
pentagons
money
hexagons
area
clocks
averages
volume
square grids
cards
tangents
consecutive numbers
digits
means
geometry
powers
ave
taxicab geometry
decahedra
digital products
planes
graphs
tournaments
circles
books
binary
wordplay
elections
angles
square numbers
functions
floors
dominos
fractions
coordinates
differentiation
doubling
lists
integration
the only crossnumber
coins
addition
quadratics
geometric means
multiples
axes
menace
xor
cryptic clues
bases
people maths
expansions
polygons
shape
logic
cryptic crossnumbers
calculus
scales
complex numbers
unit fractions
albgebra
medians
chess
2d shapes
speed
numbers
rugby
trigonometry
factorials
advent
sequences
remainders
prime numbers
indices
range
surds
perfect numbers
percentages
chocolate
combinatorics
palindromes
division
prime factors
pascal's triangle
sport
factors
3d shapes
time
neighbours
multiplaction squares
multiplication
probabilty
parabolas
dates
games
triangles
consecutive integers
polynomials
matrices
number
triangle numbers
star numbers
sums
square roots
proportion
dodecagons
chalkdust crossnumber
geometric mean
shapes
colouring
probability
digital clocks
quadrilaterals
christmas
ellipses
odd numbers
routes
symmetry
cubics
even numbers
grids
integers
dice
partitions
crossnumbers
spheres
balancing
determinants
© Matthew Scroggs 2012–2026