Question

If $2k$ divides $P(n,k)$?

score 57 · Answer 1 · 2026-03-25 16:06:30

57

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If $2k$ divides $P(n,k)$?

Published on 25 Mar 2026 - 16:06

score 49 · Answer 2 · 2026-04-02 10:52:38

49

Views

Number of ways to choose 4 different beers of each type from a set of n

Published on 02 Apr 2026 - 10:52

score 613 · Answer 3 · 2026-03-24 23:45:01

613

Views

When I have 2 variables and 2 base cases, can I use mathematical induction multiple times to form a proof?

Published on 24 Mar 2026 - 23:45

score 257 · Answer 4 · 2018-02-23 05:22:27

257

Views

poker full house binomial overcounting

Published on 23 Feb 2018 - 5:22

score 112 · Answer 5 · 2026-04-01 02:17:28

112

Views

Looking for a proof of a weird Combinatoric identity I came across

Published on 01 Apr 2026 - 2:17

score 386 · Answer 6 · 2026-03-27 10:44:16

386

Views

Find all permutations (passwords) generated from characters.

Published on 27 Mar 2026 - 10:44

score 74 · Answer 7 · 2026-03-26 11:01:09

74

Views

$\sum_{r =0}^m \frac{k.C(m,r).C(n,k)}{(r +k).C(m + n,r + k)}$ Is there a nice probability interpretation for this sum?

Published on 26 Mar 2026 - 11:01

score 234 · Answer 8 · 2026-03-26 21:25:56

234

Views

Number of independent vertex sets in a graph.

Published on 26 Mar 2026 - 21:25

score 408 · Answer 9 · 2018-02-23 16:36:06

408

Views

Number of ways of seating people on chairs such that one seat among each pair is empty

Published on 23 Feb 2018 - 16:36

score 1.3k · Answer 10 · 2018-02-23 17:27:06

1.3k

Views

For how many ordered pairs of positive integers $(x,y)$ is $x+2y = 100$?

Published on 23 Feb 2018 - 17:27

score 910 · Answer 11 · 2026-03-25 12:54:05

910

Views

Simplify the expression - sum of squares of binomial coefficients

Published on 25 Mar 2026 - 12:54

score 3.2k · Answer 12 · 2026-03-27 10:44:08

3.2k

Views

Combinatorics problem: how many such case-sensitive passwords are there?

Published on 27 Mar 2026 - 10:44

score 82 · Answer 13 · 2018-02-23 18:45:30

82

Views

All subgroups of a symmetric group

Published on 23 Feb 2018 - 18:45

score 21.7k · Answer 14 · 2026-03-27 10:46:14

21.7k

Views

Number of ways of getting 3-digit even number using 0,1,2,3,4,5

Published on 27 Mar 2026 - 10:46

score 1.8k · Answer 15 · 2018-02-23 19:32:08

Prove that every $n$-element set has the same number of subsets with even and odd cardinality without creating a bijection

List Question

If $2k$ divides $P(n,k)$?

Number of ways to choose 4 different beers of each type from a set of n

When I have 2 variables and 2 base cases, can I use mathematical induction multiple times to form a proof?

poker full house binomial overcounting

Looking for a proof of a weird Combinatoric identity I came across

Find all permutations (passwords) generated from characters.

$\sum_{r =0}^m \frac{k.C(m,r).C(n,k)}{(r +k).C(m + n,r + k)}$ Is there a nice probability interpretation for this sum?

Number of independent vertex sets in a graph.

Number of ways of seating people on chairs such that one seat among each pair is empty

For how many ordered pairs of positive integers $(x,y)$ is $x+2y = 100$?

Simplify the expression - sum of squares of binomial coefficients

Combinatorics problem: how many such case-sensitive passwords are there?

All subgroups of a symmetric group

Number of ways of getting 3-digit even number using 0,1,2,3,4,5

Prove that every $n$-element set has the same number of subsets with even and odd cardinality without creating a bijection

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