Question

Why would you take the logarithmic derivative of a generating function?

score 2.1k · Answer 1 · 2026-04-23 01:20:11

2.1k

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Why would you take the logarithmic derivative of a generating function?

Published on 23 Apr 2026 - 1:20

score 107 · Answer 2 · 2026-04-14 20:43:25

107

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Reference for this combinatorial formula

Published on 14 Apr 2026 - 20:43

score 1.4k · Answer 3 · 2026-04-16 11:44:47

1.4k

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Expected number of empty boxes, placing m balls into n boxes

Published on 16 Apr 2026 - 11:44

score 489 · Answer 4 · 2026-04-17 04:32:36

489

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Equivalence of two Inequalities (Four Point Condition)

Published on 17 Apr 2026 - 4:32

score 261 · Answer 5 · 2026-04-09 09:15:46

261

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The Abel-and-Cain Urn Problem

Published on 09 Apr 2026 - 9:15

score 131 · Answer 6 · 2026-04-14 21:42:08

131

Views

Proof there's a partition of set where for each $i$, $A_i \cap B_i \neq \emptyset$

Published on 14 Apr 2026 - 21:42

score 3.3k · Answer 7 · 2026-04-09 13:42:07

3.3k

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Friends pairing problem

Published on 09 Apr 2026 - 13:42

score 156 · Answer 8 · 2026-04-16 05:10:53

156

Views

How many solutions are to $x_1+x_2+x_3+x_4+x_5+x_6=30$ if $x_1=6$ then $x_2\neq 4$, $x_3=6$ then $x_4\neq 4$, $x_5=6$ then $x_6\neq 4$?

Published on 16 Apr 2026 - 5:10

score 81 · Answer 9 · 2026-04-15 12:16:41

In how many ways can $7$ people take elevator to $5$th floor such that at the last floor all remaining people exit (at least one remains)?

score 80 · Answer 10 · 2026-04-14 10:39:39

80

Views

Showing $\frac{r}{2(n+r)}\binom{2n}{n}\binom{2r}{r}\in \Bbb N^{+}$

Published on 14 Apr 2026 - 10:39

score 721 · Answer 11 · 2026-04-17 10:47:19

721

Views

How can we say that the number of disjoint subsets of a set containing n elements is 1+ $\frac{3^{n} - 1}{2}$

Published on 17 Apr 2026 - 10:47

score 750 · Answer 12 · 2026-04-10 01:00:40

750

Views

Grid walk with restrictions on some points

Published on 10 Apr 2026 - 1:00

score 43 · Answer 13 · 2026-04-14 22:15:41

What is the combinatorial explanation of the fact that the number of all possible partial functions from set $A$ to set $B$ is $(1+n)^k$

score 80 · Answer 14 · 2026-04-13 17:03:59

80

Views

Can this question be solved using combinatorics or permutations and combinations?

Published on 13 Apr 2026 - 17:03

score 440 · Answer 15 · 2026-04-15 19:31:40

440

Views

How many ways are there to color a cube under certain symmetry restrictions?

Published on 15 Apr 2026 - 19:31

List Question

Why would you take the logarithmic derivative of a generating function?

Reference for this combinatorial formula

Expected number of empty boxes, placing m balls into n boxes

Equivalence of two Inequalities (Four Point Condition)

The Abel-and-Cain Urn Problem

Proof there's a partition of set where for each $i$, $A_i \cap B_i \neq \emptyset$

Friends pairing problem

How many solutions are to $x_1+x_2+x_3+x_4+x_5+x_6=30$ if $x_1=6$ then $x_2\neq 4$, $x_3=6$ then $x_4\neq 4$, $x_5=6$ then $x_6\neq 4$?

In how many ways can $7$ people take elevator to $5$th floor such that at the last floor all remaining people exit (at least one remains)?

Showing $\frac{r}{2(n+r)}\binom{2n}{n}\binom{2r}{r}\in \Bbb N^{+}$

How can we say that the number of disjoint subsets of a set containing n elements is 1+ $\frac{3^{n} - 1}{2}$

Grid walk with restrictions on some points

What is the combinatorial explanation of the fact that the number of all possible partial functions from set $A$ to set $B$ is $(1+n)^k$

Can this question be solved using combinatorics or permutations and combinations?

How many ways are there to color a cube under certain symmetry restrictions?

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