Question

Prove that there exists a row or a column of the chessboard which contains at least √n distinct numbers.

score 1.2k · Answer 1 · 2026-05-13 08:41:25

1.2k

Views

Prove that there exists a row or a column of the chessboard which contains at least √n distinct numbers.

Published on 13 May 2026 - 8:41

score 158 · Answer 2 · 2026-04-16 09:56:08

158

Views

Suppose there are 1000 elements, we randomly pick two sets of 50 elements. What's the expectation of number of elements in intersection

Published on 16 Apr 2026 - 9:56

score 91 · Answer 3 · 2026-04-15 14:45:28

91

Views

Bag with 50 balls, 7 different colors. Find probabilities when we pick out 8 without putting them back.

Published on 15 Apr 2026 - 14:45

score 101 · Answer 4 · 2026-04-13 12:07:08

101

Views

Building a telephone number with special digits [Combinatorics]

Published on 13 Apr 2026 - 12:07

score 61 · Answer 5 · 2026-05-11 06:45:55

61

Views

Principle of Inclusion and Exclusion: Smallest Possible Number of Students in the Room

Published on 11 May 2026 - 6:45

score 62 · Answer 6 · 2026-04-14 17:03:58

62

Views

Calculating the coefficient of $x^{12}$

Published on 14 Apr 2026 - 17:03

score 32 · Answer 7 · 2026-04-16 16:19:44

32

Views

Explanation In the orderings involving $2$ kinds of elements

Published on 16 Apr 2026 - 16:19

score 95 · Answer 8 · 2026-05-10 19:26:17

95

Views

Building a Generating Function to Represent an Integer Partition

Published on 10 May 2026 - 19:26

score 158 · Answer 9 · 2026-04-11 06:33:07

158

Views

Arranging 3 types of balls.

Published on 11 Apr 2026 - 6:33

score 186 · Answer 10 · 2026-04-11 20:17:42

186

Views

Variation of the rook problem with rooks of two different colours.

Published on 11 Apr 2026 - 20:17

score 1.2k · Answer 11 · 2026-04-16 15:57:01

1.2k

Views

Prove $F_{n+1} ≤ (\frac74)^n $, where $F_n$ are Fibonacci numbers

Published on 16 Apr 2026 - 15:57

score 49 · Answer 12 · 2026-04-11 04:29:45

49

Views

Finding a generating function for the set of all integer partitions

Published on 11 Apr 2026 - 4:29

score 226 · Answer 13 · 2026-05-10 20:44:05

226

Views

Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$

Published on 10 May 2026 - 20:44

score 43 · Answer 14 · 2026-04-13 21:32:25

43

Views

Calculate the number of ways to mix up colored cubes

Published on 13 Apr 2026 - 21:32

score 1.6k · Answer 15 · 2026-04-14 19:46:10

1.6k

Views

There are $3$ boys and $3$ girls. How many ways can they be arranged in a way that two girls won't be together?

Published on 14 Apr 2026 - 19:46

List Question

Prove that there exists a row or a column of the chessboard which contains at least √n distinct numbers.

Suppose there are 1000 elements, we randomly pick two sets of 50 elements. What's the expectation of number of elements in intersection

Bag with 50 balls, 7 different colors. Find probabilities when we pick out 8 without putting them back.

Building a telephone number with special digits [Combinatorics]

Principle of Inclusion and Exclusion: Smallest Possible Number of Students in the Room

Calculating the coefficient of $x^{12}$

Explanation In the orderings involving $2$ kinds of elements

Building a Generating Function to Represent an Integer Partition

Arranging 3 types of balls.

Variation of the rook problem with rooks of two different colours.

Prove $F_{n+1} ≤ (\frac74)^n $, where $F_n$ are Fibonacci numbers

Finding a generating function for the set of all integer partitions

Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$

Calculate the number of ways to mix up colored cubes

There are $3$ boys and $3$ girls. How many ways can they be arranged in a way that two girls won't be together?

Trending Questions

Popular # Hahtags

Popular Questions