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Advent calendar 2023
17 December
All 2023 advent puzzles
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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?
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\((a+b+c+d+e+f)^5\) has
252
terms.
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Tags
partitions
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multiples
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trigonometry
speed
colouring
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lines
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wordplay
probability
spheres
taxicab geometry
chalkdust crossnumber
angles
arrows
cryptic clues
logic
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chocolate
division
range
perfect numbers
coordinates
time
factorials
menace
clocks
perimeter
geometry
remainders
balancing
digital clocks
sets
irreducible numbers
combinatorics
sport
consecutive integers
dates
calculus
unit fractions
expansions
doubling
ave
complex numbers
people maths
squares
symmetry
quadrilaterals
shape
polygons
cards
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the only crossnumber
integers
median
averages
sum to infinity
means
indices
chess
sums
christmas
surds
advent
regular shapes
tiling
square numbers
money
ellipses
star numbers
functions
cubics
differentiation
3d shapes
pascal's triangle
percentages
digits
cryptic crossnumbers
odd numbers
games
palindromes
factors
axes
polynomials
floors
area
matrices
pentagons
geometric means
dominos
numbers
crossnumbers
fractions
integration
decahedra
rectangles
multiplication
books
sequences
rugby
mean
dice
even numbers
scales
geometric mean
square roots
triangle numbers
2d shapes
consecutive numbers
coins
probabilty
prime numbers
volume
digital products
gerrymandering
number
grids
tournaments
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planes
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