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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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addition
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people maths
money
unit fractions
christmas
matrices
cryptic crossnumbers
games
symmetry
sums
chalkdust crossnumber
chocolate
sum to infinity
perimeter
geometric means
cube numbers
sets
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cryptic clues
differentiation
3d shapes
percentages
spheres
odd numbers
square numbers
neighbours
the only crossnumber
irreducible numbers
routes
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pascal's triangle
prime numbers
books
products
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triangle numbers
digital products
numbers grids
perfect numbers
mean
dates
medians
pentagons
numbers
shape
even numbers
area
angles
cubics
integers
circles
range
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proportion
graphs
dice
square roots
geometric mean
division
parabolas
chess
bases
scales
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coordinates
quadrilaterals
polygons
consecutive numbers
partitions
dominos
logic
multiplication
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speed
complex numbers
time
tournaments
averages
sport
rectangles
factors
integration
fractions
hexagons
albgebra
combinatorics
algebra
volume
tiling
coins
doubling
means
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expansions
elections
folding tube maps
indices
menace
surds
ave
digital clocks
remainders
colouring
triangles
binary
probabilty
quadratics
decahedra
star numbers
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axes
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balancing
palindromes
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factorials
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crossnumbers
rugby
planes
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