Question

One number is a multiple of other

score 40 · Answer 1 · 2018-06-22 07:07:46

One number is a multiple of other

Published on 22 Jun 2018 - 7:07

score 40 · Answer 2 · 2018-06-30 05:37:23

Show that $\{\frac{f_k}{n}\}$ undergoes a cycle, where $\{M\}$ is the fractional part of $M$ and $f_k$ is the $k^\text{th}$ Fibo number

score 1.2k · Answer 3 · 2018-07-11 05:57:28

1.2k

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How to show two different positive powers of $5$ that differ by a multiple of $123$ (Pigeon-hole Principle)

Published on 11 Jul 2018 - 5:57

score 61 · Answer 4 · 2018-07-20 10:32:29

61

Views

From text to mathematical formulation, combinatorics, coloring

Published on 20 Jul 2018 - 10:32

score 192 · Answer 5 · 2018-07-24 15:29:13

192

Views

Pigeonhole Principle: Getting the Largest Sum

Published on 24 Jul 2018 - 15:29

score 1k · Answer 6 · 2018-07-28 07:35:19

1k

Views

Any partition of $\{1,2,\ldots,100\}$ into seven subsets yields a subset with numbers $a,b,c,d$ such that $a+b=c+d$.

Published on 28 Jul 2018 - 7:35

score 383 · Answer 7 · 2018-08-11 03:47:15

383

Views

Dividing a Set into Subsets & The Pigeonhole Principle

Published on 11 Aug 2018 - 3:47

score 47 · Answer 8 · 2018-08-14 02:47:47

47

Views

Optimal number of elements in a subset

Published on 14 Aug 2018 - 2:47

score 161 · Answer 9 · 2018-08-19 11:51:34

161

Views

For any $n$ there's a power of $2$ which contains $n$

Published on 19 Aug 2018 - 11:51

score 1.3k · Answer 10 · 2018-09-07 19:40:41

$6967$ notes labelled $1,2,3,4,...,6967$,choose $K$ notes at random,the smallest number $K$ to ensure that two notes labelled by consecutive numbers?

score 42 · Answer 11 · 2018-09-11 09:56:10

42

Views

Pigeon issue calculate the whole "persons"

Published on 11 Sep 2018 - 9:56

score 51 · Answer 12 · 2018-09-18 16:51:14

How many candies, of which there are $5$ types, must be distributed to a classroom to guarantee at least $40$ are distributed of the same type?

score 53 · Answer 13 · 2018-09-18 17:04:07

Prove that for $n\in\mathbb{Z}^+$, a sequence of $n^3$ elements either has $n$ equal elements or a monotone subsequence with $n$ elements.

score 163 · Answer 14 · 2018-09-23 01:35:04

163

Views

Pigeon Hole Principle - How many fruit baskets?

Published on 23 Sep 2018 - 1:35

score 182 · Answer 15 · 2018-09-23 02:02:24

182

Views

Prove that there are at least 2 students taking all 4 classes? Pigeon Hole Principle

Published on 23 Sep 2018 - 2:02

List Question

One number is a multiple of other

Show that $\{\frac{f_k}{n}\}$ undergoes a cycle, where $\{M\}$ is the fractional part of $M$ and $f_k$ is the $k^\text{th}$ Fibo number

How to show two different positive powers of $5$ that differ by a multiple of $123$ (Pigeon-hole Principle)

From text to mathematical formulation, combinatorics, coloring

Pigeonhole Principle: Getting the Largest Sum

Any partition of $\{1,2,\ldots,100\}$ into seven subsets yields a subset with numbers $a,b,c,d$ such that $a+b=c+d$.

Dividing a Set into Subsets & The Pigeonhole Principle

Optimal number of elements in a subset

For any $n$ there's a power of $2$ which contains $n$

$6967$ notes labelled $1,2,3,4,...,6967$,choose $K$ notes at random,the smallest number $K$ to ensure that two notes labelled by consecutive numbers?

Pigeon issue calculate the whole "persons"

How many candies, of which there are $5$ types, must be distributed to a classroom to guarantee at least $40$ are distributed of the same type?

Prove that for $n\in\mathbb{Z}^+$, a sequence of $n^3$ elements either has $n$ equal elements or a monotone subsequence with $n$ elements.

Pigeon Hole Principle - How many fruit baskets?

Prove that there are at least 2 students taking all 4 classes? Pigeon Hole Principle

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