Question

Find the number of ways in which the number 30 can be partitioned into three unequal parts

score 2.6k · Answer 1 · 2026-04-15 22:35:41

2.6k

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Find the number of ways in which the number 30 can be partitioned into three unequal parts

Published on 15 Apr 2026 - 22:35

score 2.6k · Answer 2 · 2026-04-16 08:23:44

2.6k

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Probability of an Ace at the 2nd card take

Published on 16 Apr 2026 - 8:23

score 51 · Answer 3 · 2026-04-15 18:58:37

51

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In how many ways can I decompose $n \equiv \pm k \mod{m}$ in a sum of numbers also congruent to $\pm k \mod m$?

Published on 15 Apr 2026 - 18:58

score 39 · Answer 4 · 2026-04-15 10:39:22

39

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How many types of tickets must be printed so that a person can choose to travel between any of the two stations?

Published on 15 Apr 2026 - 10:39

score 245 · Answer 5 · 2026-04-14 22:18:46

245

Views

Can't prove this algebraically $\sum\limits_{i = 0}^n { n \choose i } \, !i = n! $

Published on 14 Apr 2026 - 22:18

score 831 · Answer 6 · 2026-04-16 11:36:16

831

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How to determine the number of resulting sets from the Cartesian Product of N sets with varying length

Published on 16 Apr 2026 - 11:36

score 163 · Answer 7 · 2026-04-17 05:26:55

163

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Prove that the elements of X all have the same weight

Published on 17 Apr 2026 - 5:26

score 108 · Answer 8 · 2026-04-17 12:31:54

108

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For iid continuous random variables, $\mathbb{P}\left\{X_n > X_1 > X_2, X_3,\cdots,X_{n-1}\right\} = 1/n(n-1)$?

Published on 17 Apr 2026 - 12:31

score 95 · Answer 9 · 2026-04-08 21:41:56

95

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About combinations with repetitions

Published on 08 Apr 2026 - 21:41

score 56 · Answer 10 · 2026-04-13 02:53:53

56

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How many combinations of length $n$ from $k < n$ integers

Published on 13 Apr 2026 - 2:53

score 515 · Answer 11 · 2026-04-10 17:42:06

In how many ways can $4$ books be removed from a bookshelf with $15$ books such that no two adjacent books are chosen?

score 208 · Answer 12 · 2026-04-15 16:46:26

208

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Count number of triangles given a set of points

Published on 15 Apr 2026 - 16:46

score 432 · Answer 13 · 2026-04-16 00:03:53

432

Views

Number of edges in Graph where neighbors are 2-element subsets of $\{1,\dots,n\}$ with a common element

Published on 16 Apr 2026 - 0:03

score 57 · Answer 14 · 2026-04-14 14:55:21

Let X=set of all pairs {(i,j)} with $i \neq j$. Counting subsets L of X that have equal number of pairs starting with k as pairs ending with k

score 108 · Answer 15 · 2026-04-14 21:37:31

In a sequence of $34$ odd integers $a_1,a_2, \cdots , a_{34}$ between $1$ and $100$ there exist $i \neq j$ such that $a_i\mid a_j$.

List Question

Find the number of ways in which the number 30 can be partitioned into three unequal parts

Probability of an Ace at the 2nd card take

In how many ways can I decompose $n \equiv \pm k \mod{m}$ in a sum of numbers also congruent to $\pm k \mod m$?

How many types of tickets must be printed so that a person can choose to travel between any of the two stations?

Can't prove this algebraically $\sum\limits_{i = 0}^n { n \choose i } \, !i = n! $

How to determine the number of resulting sets from the Cartesian Product of N sets with varying length

Prove that the elements of X all have the same weight

For iid continuous random variables, $\mathbb{P}\left\{X_n > X_1 > X_2, X_3,\cdots,X_{n-1}\right\} = 1/n(n-1)$?

About combinations with repetitions

How many combinations of length $n$ from $k < n$ integers

In how many ways can $4$ books be removed from a bookshelf with $15$ books such that no two adjacent books are chosen?

Count number of triangles given a set of points

Number of edges in Graph where neighbors are 2-element subsets of $\{1,\dots,n\}$ with a common element

Let X=set of all pairs {(i,j)} with $i \neq j$. Counting subsets L of X that have equal number of pairs starting with k as pairs ending with k

In a sequence of $34$ odd integers $a_1,a_2, \cdots , a_{34}$ between $1$ and $100$ there exist $i \neq j$ such that $a_i\mid a_j$.

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