Question

$\left((x_1 + x_2 + \cdots + x_n) > \frac{n(n+1)}{2}\right)\rightarrow (\exists i\in P\,.\,x_i>i)$

score 43 · Answer 1 · 2018-10-06 20:47:15

43

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$\left((x_1 + x_2 + \cdots + x_n) > \frac{n(n+1)}{2}\right)\rightarrow (\exists i\in P\,.\,x_i>i)$

Published on 06 Oct 2018 - 20:47

score 82 · Answer 2 · 2018-10-06 22:13:24

82

Views

Please help me prove this question

Published on 06 Oct 2018 - 22:13

score 94 · Answer 3 · 2026-03-28 11:43:34

94

Views

An induction proof of $(a+1)^n (a^n+1) \leq 2^n (a^{2n}+1)$

Published on 28 Mar 2026 - 11:43

score 82 · Answer 4 · 2018-10-07 03:45:35

82

Views

How many lowercase strings of 8 letters contain the letters x and y?

Published on 07 Oct 2018 - 3:45

score 273 · Answer 5 · 2026-03-25 05:10:01

Prove $\forall n \in \mathbb N, \forall k\in \mathbb Z, \forall \ell \in \mathbb Z, \neg (n = 5k+3 \land n = 5\ell +1)$, Intended meaning?

score 151 · Answer 6 · 2026-04-11 08:59:11

151

Views

There are four couples to be seated in a row with $8$ seats.

Published on 11 Apr 2026 - 8:59

score 1k · Answer 7 · 2018-10-07 06:13:15

1k

Views

Find the Coefficient of $x^{14}$ in $(3-2x^2)^{10}$

Published on 07 Oct 2018 - 6:13

score 645 · Answer 8 · 2018-10-07 06:33:19

645

Views

number of subsets that has no two consecutive elements

Published on 07 Oct 2018 - 6:33

score 300 · Answer 9 · 2018-10-07 08:01:58

300

Views

valid argument forms to deduce the conclusion from the premises, please explain to me , to understand this?

Published on 07 Oct 2018 - 8:01

score 202 · Answer 10 · 2026-03-25 01:17:10

202

Views

Put n rooks on a $n \times n$ chessboard so that every empty square is threatened

Published on 25 Mar 2026 - 1:17

score 1.2k · Answer 11 · 2026-04-11 10:39:10

1.2k

Views

In how many ways can ten indistinguishable cookies be distributed to four friends with restrictions?

Published on 11 Apr 2026 - 10:39

score 32 · Answer 12 · 2026-03-27 02:07:11

32

Views

$R$ be a relation on $\mathbb{Z}\times\mathbb{N}$ by $(n,m)R(n',m')$ iff $nm'=n'm$

Published on 27 Mar 2026 - 2:07

score 59 · Answer 13 · 2026-03-29 03:18:56

59

Views

Solving of basic recurrence relation

Published on 29 Mar 2026 - 3:18

score 53 · Answer 14 · 2026-04-02 22:05:44

53

Views

Logic flaw or not

Published on 02 Apr 2026 - 22:05

score 34 · Answer 15 · 2026-03-25 06:31:53

34

Views

Transforming the inequality bellow

Published on 25 Mar 2026 - 6:31

List Question

$\left((x_1 + x_2 + \cdots + x_n) > \frac{n(n+1)}{2}\right)\rightarrow (\exists i\in P\,.\,x_i>i)$

Please help me prove this question

An induction proof of $(a+1)^n (a^n+1) \leq 2^n (a^{2n}+1)$

How many lowercase strings of 8 letters contain the letters x and y?

Prove $\forall n \in \mathbb N, \forall k\in \mathbb Z, \forall \ell \in \mathbb Z, \neg (n = 5k+3 \land n = 5\ell +1)$, Intended meaning?

There are four couples to be seated in a row with $8$ seats.

Find the Coefficient of $x^{14}$ in $(3-2x^2)^{10}$

number of subsets that has no two consecutive elements

valid argument forms to deduce the conclusion from the premises, please explain to me , to understand this?

Put n rooks on a $n \times n$ chessboard so that every empty square is threatened

In how many ways can ten indistinguishable cookies be distributed to four friends with restrictions?

$R$ be a relation on $\mathbb{Z}\times\mathbb{N}$ by $(n,m)R(n',m')$ iff $nm'=n'm$

Solving of basic recurrence relation

Logic flaw or not

Transforming the inequality bellow

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