Question

Number of ways to distribute objects, some identical and others not, into identical groups

score 383 · Answer 1 · 2026-04-13 00:07:26

383

Views

Number of ways to distribute objects, some identical and others not, into identical groups

Published on 13 Apr 2026 - 0:07

score 175 · Answer 2 · 2026-05-04 21:07:49

175

Views

Find the number of $n × n$ binary matrices that have precisely one 1 in every row and every column.

Published on 04 May 2026 - 21:07

score 3.7k · Answer 3 · 2026-04-15 23:43:10

3.7k

Views

From $5$ apples, $4$ mangoes and $3$ bananas, in how many ways we can select at least two fruits of each variety?

Published on 15 Apr 2026 - 23:43

score 69 · Answer 4 · 2026-04-13 18:51:39

69

Views

Number of non negative integral solutions when the values of the variables are also bounded above.

Published on 13 Apr 2026 - 18:51

score 73 · Answer 5 · 2026-04-14 17:44:43

73

Views

How many convex quadrilaterals can be formed between two parallel lines where 5 points lies in one line and 7 in the other?

Published on 14 Apr 2026 - 17:44

score 263 · Answer 6 · 2026-04-13 02:06:51

263

Views

Permutations of "SOCIOLOGICAS" with the vowels in order?

Published on 13 Apr 2026 - 2:06

score 120 · Answer 7 · 2026-04-10 20:51:41

120

Views

Constant-recursive Fibonacci identities

Published on 10 Apr 2026 - 20:51

score 56 · Answer 8 · 2026-04-30 00:53:01

56

Views

Ordering states for an integer-incrementing game.

Published on 30 Apr 2026 - 0:53

score 168 · Answer 9 · 2026-04-16 04:31:16

168

Views

proof with induction $\sum_{k=0}^n (-1)^k \binom{n}{k} (n-k+1)^n = n!$

Published on 16 Apr 2026 - 4:31

score 24 · Answer 10 · 2026-04-11 20:06:25

24

Views

How to efficiently determine the number of samples required for a given statistic?

Published on 11 Apr 2026 - 20:06

score 757 · Answer 11 · 2026-04-13 21:54:33

757

Views

Selecting non adjacent squares on a chess board

Published on 13 Apr 2026 - 21:54

score 580 · Answer 12 · 2026-04-10 19:29:56

580

Views

Combinations problem with 'at least' condition

Published on 10 Apr 2026 - 19:29

score 421 · Answer 13 · 2026-04-21 12:22:13

421

Views

Minimal numbers of elements in union of sets

Published on 21 Apr 2026 - 12:22

score 274 · Answer 14 · 2026-04-14 22:35:21

If the set $S$ consists of $900,000,000$ whole numbers, each with the same number of digits, how many digits are the numbers?

score 951 · Answer 15 · 2026-04-16 04:36:44

951

Views

Prove $\sum_{i=0}^n (-1)^{n-i} \binom{n+1}{i} (i+1)^n = (n+2)^n$

Published on 16 Apr 2026 - 4:36

List Question

Number of ways to distribute objects, some identical and others not, into identical groups

Find the number of $n × n$ binary matrices that have precisely one 1 in every row and every column.

From $5$ apples, $4$ mangoes and $3$ bananas, in how many ways we can select at least two fruits of each variety?

Number of non negative integral solutions when the values of the variables are also bounded above.

How many convex quadrilaterals can be formed between two parallel lines where 5 points lies in one line and 7 in the other?

Permutations of "SOCIOLOGICAS" with the vowels in order?

Constant-recursive Fibonacci identities

Ordering states for an integer-incrementing game.

proof with induction $\sum_{k=0}^n (-1)^k \binom{n}{k} (n-k+1)^n = n!$

How to efficiently determine the number of samples required for a given statistic?

Selecting non adjacent squares on a chess board

Combinations problem with 'at least' condition

Minimal numbers of elements in union of sets

If the set $S$ consists of $900,000,000$ whole numbers, each with the same number of digits, how many digits are the numbers?

Prove $\sum_{i=0}^n (-1)^{n-i} \binom{n+1}{i} (i+1)^n = (n+2)^n$

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