mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

7 December

There are 8 sets (including the empty set) that contain numbers from 1 to 4 that don't include any consecutive integers:
\(\{\}\), \(\{1\}\), \(\{2\}\), \(\{3\}\), \(\{4\}\), \(\{1,3\}\), \(\{1,4\}\), \(\{2, 4\}\)
How many sets (including the empty set) are there that contain numbers from 1 to 14 that don't include any consecutive integers?

Show answer & extension

Tags: number, sets

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024