Question

3 urns with 6 balls numbered from 1 to 6. We take 1 ball from each urn. In how many way can we have 3 different numbers?

score 88 · Answer 1 · 2026-04-14 21:13:02

88

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3 urns with 6 balls numbered from 1 to 6. We take 1 ball from each urn. In how many way can we have 3 different numbers?

Published on 14 Apr 2026 - 21:13

score 8.9k · Answer 2 · 2026-05-10 15:51:01

8.9k

Views

Catalan numbers. Sequence of balanced parentheses.

Published on 10 May 2026 - 15:51

score 32 · Answer 3 · 2026-04-16 10:36:38

32

Views

A conjecture on the coefficient of a special term in the expansion of the graph polynomial?

Published on 16 Apr 2026 - 10:36

score 341 · Answer 4 · 2026-05-11 01:53:17

341

Views

Prove that we can divide a group of 90 people into 3 groups each with 30 people so that everyone has a friend in group

Published on 11 May 2026 - 1:53

score 79 · Answer 5 · 2026-04-18 04:37:38

79

Views

Would it be reasonable to define $\binom{n}{n+1} = 0$?

Published on 18 Apr 2026 - 4:37

score 150 · Answer 6 · 2026-04-12 01:44:06

150

Views

Enumeration of bead color arrangements

Published on 12 Apr 2026 - 1:44

score 2.2k · Answer 7 · 2026-04-22 09:48:20

2.2k

Views

If $n$ balls are distributed randomly into $k$ buckets, what is the probability that the first bucket contains $j$ balls?

Published on 22 Apr 2026 - 9:48

score 159 · Answer 8 · 2026-04-16 10:24:45

159

Views

How many $S\subseteq\mathcal{P}(A)$ contain each element of $A$ an even number of times?

Published on 16 Apr 2026 - 10:24

score 1.5k · Answer 9 · 2026-05-11 06:44:05

1.5k

Views

What is the number of arrangements in the word “EDUCATION” where vowels are never together?

Published on 11 May 2026 - 6:44

score 186 · Answer 10 · 2026-05-14 16:17:28

186

Views

How to form a set of numbers whose product is maximum?

Published on 14 May 2026 - 16:17

score 77 · Answer 11 · 2026-04-15 03:46:40

77

Views

What is the probability of selecting all three colors when $4$ balls are randomly selected from a box containing ...?

Published on 15 Apr 2026 - 3:46

score 1.3k · Answer 12 · 2026-04-17 08:34:30

1.3k

Views

How to prove $\sum_{i=0}^{n} \binom{n}{i}=2^n$

Published on 17 Apr 2026 - 8:34

score 44 · Answer 13 · 2026-04-08 01:30:46

44

Views

combinatorics object on circle

Published on 08 Apr 2026 - 1:30

score 48 · Answer 14 · 2026-04-10 16:17:15

48

Views

Relation between Combinatorics and Sum of First $(n-1)$ Natural Numbers

Published on 10 Apr 2026 - 16:17

score 138 · Answer 15 · 2026-04-10 23:36:58

138

Views

Need to solve a sum

Published on 10 Apr 2026 - 23:36

List Question

3 urns with 6 balls numbered from 1 to 6. We take 1 ball from each urn. In how many way can we have 3 different numbers?

Catalan numbers. Sequence of balanced parentheses.

A conjecture on the coefficient of a special term in the expansion of the graph polynomial?

Prove that we can divide a group of 90 people into 3 groups each with 30 people so that everyone has a friend in group

Would it be reasonable to define $\binom{n}{n+1} = 0$?

Enumeration of bead color arrangements

If $n$ balls are distributed randomly into $k$ buckets, what is the probability that the first bucket contains $j$ balls?

How many $S\subseteq\mathcal{P}(A)$ contain each element of $A$ an even number of times?

What is the number of arrangements in the word “EDUCATION” where vowels are never together?

How to form a set of numbers whose product is maximum?

What is the probability of selecting all three colors when $4$ balls are randomly selected from a box containing ...?

How to prove $\sum_{i=0}^{n} \binom{n}{i}=2^n$

combinatorics object on circle

Relation between Combinatorics and Sum of First $(n-1)$ Natural Numbers

Need to solve a sum

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