Question

Find all possible to ways to reach a point $N$ meters away using steps that are of lengths 1 meter or 2 meters.

score 52 · Answer 1 · 2026-04-15 09:07:53

52

Views

Find all possible to ways to reach a point $N$ meters away using steps that are of lengths 1 meter or 2 meters.

Published on 15 Apr 2026 - 9:07

score 835 · Answer 2 · 2026-04-12 15:24:02

835

Views

Given an anti-chain of the powerset of a finite set, is there a disjoint maximal chain?

Published on 12 Apr 2026 - 15:24

score 7.3k · Answer 3 · 2026-05-10 16:16:52

7.3k

Views

A magic trick - find out the fifth card if four is given

Published on 10 May 2026 - 16:16

score 123 · Answer 4 · 2026-05-10 19:03:27

123

Views

Coloring the plane and the space with four and five colors

Published on 10 May 2026 - 19:03

score 351 · Answer 5 · 2026-05-14 06:18:00

351

Views

How many $4$ digit integers have the product of their digits equal to $5!$?

Published on 14 May 2026 - 6:18

score 63 · Answer 6 · 2026-04-15 23:58:07

63

Views

Show that for all $n \geq 2, \binom{2n-1}{n} - \binom{2n-1}{n-2} = \frac{1}{n+1}\binom{2n}{n}$

Published on 15 Apr 2026 - 23:58

score 978 · Answer 7 · 2026-04-12 07:56:54

978

Views

What is the maximum time it will take to open a combination lock?

Published on 12 Apr 2026 - 7:56

score 60 · Answer 8 · 2026-04-16 17:13:39

60

Views

Distributing objects into different boxes such that number of objects are distinct.

Published on 16 Apr 2026 - 17:13

score 103 · Answer 9 · 2026-04-13 22:13:49

103

Views

In a random sequence of a million decimal digits what is the probability that there are exactly 100000 of each digit?

Published on 13 Apr 2026 - 22:13

score 40 · Answer 10 · 2026-04-16 00:04:14

40

Views

How many $4$ digit numbers such that $4$ is always left of $1$ can be formed? (Repetition is NOT allowed)

Published on 16 Apr 2026 - 0:04

score 4k · Answer 11 · 2026-04-17 15:30:05

4k

Views

How many 5 digit numbers can be formed using digits 1,2,3 with exactly one digit repeating 3 times.

Published on 17 Apr 2026 - 15:30

score 633 · Answer 12 · 2026-04-13 21:48:05

Given 5 different balls and 5 different boxes, in how many ways can you put the balls in the boxes such that at most 3 boxes are empty?

score 280 · Answer 13 · 2026-05-10 15:45:55

280

Views

Question on cross-cuts contained in cross-cuts

Published on 10 May 2026 - 15:45

score 393 · Answer 14 · 2026-04-15 00:59:57

393

Views

There are 6 cards, 3 blue and 3 red. What is the probability of putting them in a row with alternating colors?

Published on 15 Apr 2026 - 0:59

score 332 · Answer 15 · 2026-05-10 19:35:41

332

Views

Stirling numbers of the second kind - proof

Published on 10 May 2026 - 19:35

List Question

Find all possible to ways to reach a point $N$ meters away using steps that are of lengths 1 meter or 2 meters.

Given an anti-chain of the powerset of a finite set, is there a disjoint maximal chain?

A magic trick - find out the fifth card if four is given

Coloring the plane and the space with four and five colors

How many $4$ digit integers have the product of their digits equal to $5!$?

Show that for all $n \geq 2, \binom{2n-1}{n} - \binom{2n-1}{n-2} = \frac{1}{n+1}\binom{2n}{n}$

What is the maximum time it will take to open a combination lock?

Distributing objects into different boxes such that number of objects are distinct.

In a random sequence of a million decimal digits what is the probability that there are exactly 100000 of each digit?

How many $4$ digit numbers such that $4$ is always left of $1$ can be formed? (Repetition is NOT allowed)

How many 5 digit numbers can be formed using digits 1,2,3 with exactly one digit repeating 3 times.

Given 5 different balls and 5 different boxes, in how many ways can you put the balls in the boxes such that at most 3 boxes are empty?

Question on cross-cuts contained in cross-cuts

There are 6 cards, 3 blue and 3 red. What is the probability of putting them in a row with alternating colors?

Stirling numbers of the second kind - proof

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