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