Question

Given 2 generating functions for the sequences ($a_r$) and ($b_r$), show that $a_r$ = $b_{r+1}$ for each $r$ = 1, 2, ...

score 238 · Answer 1 · 2026-04-16 03:54:45

238

Views

Given 2 generating functions for the sequences ($a_r$) and ($b_r$), show that $a_r$ = $b_{r+1}$ for each $r$ = 1, 2, ...

Published on 16 Apr 2026 - 3:54

score 393 · Answer 2 · 2026-04-13 07:35:43

393

Views

Show that the group of bijectives functions is not commutative

Published on 13 Apr 2026 - 7:35

score 624 · Answer 3 · 2026-04-13 11:04:47

624

Views

How many combinations of meals at a Sub resturant?

Published on 13 Apr 2026 - 11:04

score 1.8k · Answer 4 · 2026-04-15 10:37:49

1.8k

Views

How many binary strings (with a given number of occurrences of 0 and 1) are there that do not contain a given substring?

Published on 15 Apr 2026 - 10:37

score 81 · Answer 5 · 2026-04-16 21:48:35

81

Views

All conjugates of $(13)(24)$ in $S_4$

Published on 16 Apr 2026 - 21:48

score 129 · Answer 6 · 2026-04-15 22:36:07

129

Views

Find the probability of finding all M unique gifts in a N group of bags

Published on 15 Apr 2026 - 22:36

score 564 · Answer 7 · 2026-04-07 21:25:20

564

Views

No of ways in which seven man can leave a lift.

Published on 07 Apr 2026 - 21:25

score 2.1k · Answer 8 · 2026-04-16 00:04:39

How many distinct six letter words can be formed from $11$ distinct consonants and $5$ vowels if the middle two letters are vowels?

score 1.2k · Answer 9 · 2026-04-14 01:58:19

1.2k

Views

$\sigma$ a permutation of $A$. Say $\sigma$ moves $a\in A$, if $\sigma(a)\neq a$. How many elements are moved by $\sigma$ of length $n$?

Published on 14 Apr 2026 - 1:58

score 108 · Answer 10 · 2026-04-16 15:47:35

108

Views

Permutation , specific distance between elements

Published on 16 Apr 2026 - 15:47

score 88 · Answer 11 · 2026-04-10 05:22:29

88

Views

Probability of $r$ people in between

Published on 10 Apr 2026 - 5:22

score 101 · Answer 12 · 2026-04-17 11:38:41

101

Views

A 3-part combinatorics question with varying conditions

Published on 17 Apr 2026 - 11:38

score 143 · Answer 13 · 2026-04-17 15:30:44

143

Views

How many ways can $2n$ dancers line up (n men & n women, who were partnered up), with no partners next to one another?

Published on 17 Apr 2026 - 15:30

score 572 · Answer 14 · 2026-04-15 09:15:13

572

Views

Probability of choosing marbles from number of boxes

Published on 15 Apr 2026 - 9:15

score 248 · Answer 15 · 2026-04-15 17:42:51

248

Views

How many different words can be formed with the letters of 'SKYSCRAPERS' if A and E are together?

Published on 15 Apr 2026 - 17:42

List Question

Given 2 generating functions for the sequences ($a_r$) and ($b_r$), show that $a_r$ = $b_{r+1}$ for each $r$ = 1, 2, ...

Show that the group of bijectives functions is not commutative

How many combinations of meals at a Sub resturant?

How many binary strings (with a given number of occurrences of 0 and 1) are there that do not contain a given substring?

All conjugates of $(13)(24)$ in $S_4$

Find the probability of finding all M unique gifts in a N group of bags

No of ways in which seven man can leave a lift.

How many distinct six letter words can be formed from $11$ distinct consonants and $5$ vowels if the middle two letters are vowels?

$\sigma$ a permutation of $A$. Say $\sigma$ moves $a\in A$, if $\sigma(a)\neq a$. How many elements are moved by $\sigma$ of length $n$?

Permutation , specific distance between elements

Probability of $r$ people in between

A 3-part combinatorics question with varying conditions

How many ways can $2n$ dancers line up (n men & n women, who were partnered up), with no partners next to one another?

Probability of choosing marbles from number of boxes

How many different words can be formed with the letters of 'SKYSCRAPERS' if A and E are together?

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