Question

How to read $n\frac{k}{~}$?

score 95 · Answer 1 · 2026-04-10 19:50:55

95

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How to read $n\frac{k}{~}$?

Published on 10 Apr 2026 - 19:50

score 76 · Answer 2 · 2026-04-14 11:39:12

76

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Discrete math [Counting]

Published on 14 Apr 2026 - 11:39

score 259 · Answer 3 · 2026-04-16 04:28:22

259

Views

Find all positive integers $a, b$ and $c$ such that $a! + b! = c!$

Published on 16 Apr 2026 - 4:28

score 119 · Answer 4 · 2026-04-13 17:10:53

119

Views

Evaluating a Binomial Coefficient Limit: $\lim_{n\to\infty} 2^{-2n} \binom{2n}{n}$.

Published on 13 Apr 2026 - 17:10

score 62 · Answer 5 · 2026-04-12 11:31:44

62

Views

How to methodically work out stars and bars with constraints?

Published on 12 Apr 2026 - 11:31

score 110 · Answer 6 · 2026-04-13 10:40:51

110

Views

Catalan recurrence

Published on 13 Apr 2026 - 10:40

score 125 · Answer 7 · 2026-04-15 10:54:11

125

Views

Number of ways John and Mary can each select $4$ ice-cream flavours at two stores that sell one common flavour

Published on 15 Apr 2026 - 10:54

score 39 · Answer 8 · 2026-04-13 09:28:34

39

Views

Permutations and cycles

Published on 13 Apr 2026 - 9:28

score 55 · Answer 9 · 2026-04-13 20:09:24

55

Views

Prove that the last number remaining is greater then $\frac{1}{n}$

Published on 13 Apr 2026 - 20:09

score 795 · Answer 10 · 2026-05-10 20:27:09

795

Views

Combinatorics meaning of $L_m=\sum_{j=m}^{n}(-1)^{j-m}\binom{j-1}{m-1}S_j$

Published on 10 May 2026 - 20:27

score 294 · Answer 11 · 2026-04-16 01:18:16

In how many ways can n red balls and n blue balls be arranged such that number of red balls from left side is >= number of blue balls?

score 120 · Answer 12 · 2026-05-10 18:05:20

120

Views

A combinatorial inequality $\binom {2n}{k} + \binom {2n}{n-k} \ < \ \binom{2n}{n} + \binom{2n}{0} \ \ \text{for} \ \ k<n \ \ $

Published on 10 May 2026 - 18:05

score 240 · Answer 13 · 2026-04-14 11:58:35

240

Views

throwing N balls into M bins, where each bin may be different sizes

Published on 14 Apr 2026 - 11:58

score 598 · Answer 14 · 2026-05-11 07:51:43

598

Views

Number of nine-digit strings that contain each of the odd digits

Published on 11 May 2026 - 7:51

score 82 · Answer 15 · 2026-04-14 22:45:09

82

Views

Prove $\binom{n}{2}+\binom{n}{3}\cdot7+\binom{n}{4}\cdot7^2+....+7^{n-2}\in \mathbb{Z}$ for all $n\geq 2$

Published on 14 Apr 2026 - 22:45

List Question

How to read $n\frac{k}{~}$?

Discrete math [Counting]

Find all positive integers $a, b$ and $c$ such that $a! + b! = c!$

Evaluating a Binomial Coefficient Limit: $\lim_{n\to\infty} 2^{-2n} \binom{2n}{n}$.

How to methodically work out stars and bars with constraints?

Catalan recurrence

Number of ways John and Mary can each select $4$ ice-cream flavours at two stores that sell one common flavour

Permutations and cycles

Prove that the last number remaining is greater then $\frac{1}{n}$

Combinatorics meaning of $L_m=\sum_{j=m}^{n}(-1)^{j-m}\binom{j-1}{m-1}S_j$

In how many ways can n red balls and n blue balls be arranged such that number of red balls from left side is >= number of blue balls?

A combinatorial inequality $\binom {2n}{k} + \binom {2n}{n-k} \ < \ \binom{2n}{n} + \binom{2n}{0} \ \ \text{for} \ \ k<n \ \ $

throwing N balls into M bins, where each bin may be different sizes

Number of nine-digit strings that contain each of the odd digits

Prove $\binom{n}{2}+\binom{n}{3}\cdot7+\binom{n}{4}\cdot7^2+....+7^{n-2}\in \mathbb{Z}$ for all $n\geq 2$

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