Question

How many combinations to combine letters with certain restrictions

score 220 · Answer 1 · 2021-03-03 15:42:16

220

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How many combinations to combine letters with certain restrictions

Published on 03 Mar 2021 - 15:42

score 83 · Answer 2 · 2026-03-27 20:27:25

83

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How many length 10 words can we make that start with "TRY" or end with "TRY"?

Published on 27 Mar 2026 - 20:27

score 277 · Answer 3 · 2026-02-24 13:50:33

277

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Intuition behind the coupon collector problem. Is there inclusion-exclusion principle in play?

Published on 24 Feb 2026 - 13:50

score 103 · Answer 4 · 2026-03-25 23:42:48

103

Views

Show that $\left| A_n \right| = \sum_{k=1}^{n} (-1)^k \binom{n}{k} B(n - k)$ where $B(n)$ is the nth Bell number.

Published on 25 Mar 2026 - 23:42

score 81 · Answer 5 · 2026-03-30 13:57:34

81

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How does this product over finite primes represents density of certain natural numbers?

Published on 30 Mar 2026 - 13:57

score 83 · Answer 6 · 2026-02-23 22:24:13

83

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How many bijections $ \pi: \{1,2, \dots,n \} \to \{1,2, \dots,n \} $ are there such that $ \pi(j) \neq j $?

Published on 23 Feb 2026 - 22:24

score 153 · Answer 7 · 2021-03-12 16:45:59

153

Views

number of surjective function from a set [k] to [n]

Published on 12 Mar 2021 - 16:45

score 453 · Answer 8 · 2021-03-14 13:12:22

453

Views

Using Inclusion-Exclusion, probability of occurrence of exactly $m$ events out of $\{A_1,\ldots,A_n\}$

Published on 14 Mar 2021 - 13:12

score 46 · Answer 9 · 2021-03-16 18:37:31

46

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Dimension of intersection of three spaces

Published on 16 Mar 2021 - 18:37

score 161 · Answer 10 · 2026-03-30 13:54:43

161

Views

How to count the number of subsets of $X$ of size $k$ that are disjoint from $A$?

Published on 30 Mar 2026 - 13:54

score 294 · Answer 11 · 2021-03-30 01:23:31

294

Views

Probability of at least 1 sequence of 6 heads followed by 6 tails among $n$ tosses?

Published on 30 Mar 2021 - 1:23

score 95 · Answer 12 · 2021-04-01 17:46:05

95

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In how many ways can $13$ identical objects be placed into squares such that no row remains empty?

Published on 01 Apr 2021 - 17:46

score 146 · Answer 13 · 2026-03-26 04:28:21

146

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Generalized Hertzsprung Problem

Published on 26 Mar 2026 - 4:28

score 34 · Answer 14 · 2021-04-04 14:33:24

34

Views

How to Determine the number of integer/natural solutions of:

Published on 04 Apr 2021 - 14:33

score 319 · Answer 15 · 2026-04-03 12:39:32

319

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A coin is tossed $10$ times. Find the probability that there exist $7$ consecutive coin tosses with at least $5$ out of the $7$ being heads.

Published on 03 Apr 2026 - 12:39

List Question

How many combinations to combine letters with certain restrictions

How many length 10 words can we make that start with "TRY" or end with "TRY"?

Intuition behind the coupon collector problem. Is there inclusion-exclusion principle in play?

Show that $\left| A_n \right| = \sum_{k=1}^{n} (-1)^k \binom{n}{k} B(n - k)$ where $B(n)$ is the nth Bell number.

How does this product over finite primes represents density of certain natural numbers?

How many bijections $ \pi: \{1,2, \dots,n \} \to \{1,2, \dots,n \} $ are there such that $ \pi(j) \neq j $?

number of surjective function from a set [k] to [n]

Using Inclusion-Exclusion, probability of occurrence of exactly $m$ events out of $\{A_1,\ldots,A_n\}$

Dimension of intersection of three spaces

How to count the number of subsets of $X$ of size $k$ that are disjoint from $A$?

Probability of at least 1 sequence of 6 heads followed by 6 tails among $n$ tosses?

In how many ways can $13$ identical objects be placed into squares such that no row remains empty?

Generalized Hertzsprung Problem

How to Determine the number of integer/natural solutions of:

A coin is tossed $10$ times. Find the probability that there exist $7$ consecutive coin tosses with at least $5$ out of the $7$ being heads.

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