Question

Let , and be sets. Prove formally that | ∪ ∪ | = || + || + || − | ∩ | − | ∩ | − | ∩ | + | ∩ ∩ |

score 73 · Answer 1 · 2018-11-21 22:26:30

73

Views

Let , and be sets. Prove formally that | ∪ ∪ | = || + || + || − | ∩ | − | ∩ | − | ∩ | + | ∩ ∩ |

Published on 21 Nov 2018 - 22:26

score 110 · Answer 2 · 2018-11-24 05:40:00

110

Views

Explanation of counting by Inclusion Exclusion

Published on 24 Nov 2018 - 5:40

score 123 · Answer 3 · 2018-12-04 07:03:33

123

Views

Letters and Envelops problem

Published on 04 Dec 2018 - 7:03

score 58 · Answer 4 · 2018-12-04 13:23:49

58

Views

How many ways are there to divide n dancers into dance circles where in each circle num of dancers >=2?

Published on 04 Dec 2018 - 13:23

score 601 · Answer 5 · 2026-03-24 22:26:55

601

Views

Seating Arrangement with Derangement

Published on 24 Mar 2026 - 22:26

score 590 · Answer 6 · 2018-12-05 10:10:05

590

Views

Prove that $(1-x)^n \leq 1 -xn+\frac{n(n-1)}{2}x^2$ when $0\leq x\leq 1$ and $n\geq2$

Published on 05 Dec 2018 - 10:10

score 233 · Answer 7 · 2018-12-06 16:24:47

233

Views

Number of one-one function from sets $A$ to $B$.

Published on 06 Dec 2018 - 16:24

score 28 · Answer 8 · 2018-12-07 23:42:10

28

Views

Inclusion exclusion principle counting

Published on 07 Dec 2018 - 23:42

score 392 · Answer 9 · 2018-12-15 09:38:36

392

Views

Derangements $p$ of $1,2,\dots,n,n+1$ such that $n+1$ doesn't go to $n$

Published on 15 Dec 2018 - 9:38

score 133 · Answer 10 · 2018-12-25 10:29:06

133

Views

A Question on the Inclusion-Exclusion Principle in Probability Theory

Published on 25 Dec 2018 - 10:29

score 37 · Answer 11 · 2018-12-30 19:17:45

Given $a_1, a_2, \cdots, a_N$ such that $a_1+a_2+\cdots +a_N = S$ for some given $S$, find the number of ways such that someone is $\geq T$.

score 2.2k · Answer 12 · 2019-01-04 15:55:45

2.2k

Views

Number of ways of coloring n objects which are laid in a row with k colors such that the adjacent objects are of different colors

Published on 04 Jan 2019 - 15:55

score 848 · Answer 13 · 2019-01-07 10:16:33

848

Views

In how many ways can letters in a word CALCULUS be rearranged so that no two identical letters are adjacent?

Published on 07 Jan 2019 - 10:16

score 265 · Answer 14 · 2019-01-12 21:43:04

265

Views

What is the probability that no cup is on a saucer of the same colour?

Published on 12 Jan 2019 - 21:43

score 3k · Answer 15 · 2019-01-15 03:38:54

3k

Views

Envelope Question: Five letters addressed to individuals 1-5 are randomly placed in five addressed envelopes, one letter in each envelope.

Published on 15 Jan 2019 - 3:38

List Question

Let , and be sets. Prove formally that | ∪ ∪ | = || + || + || − | ∩ | − | ∩ | − | ∩ | + | ∩ ∩ |

Explanation of counting by Inclusion Exclusion

Letters and Envelops problem

How many ways are there to divide n dancers into dance circles where in each circle num of dancers >=2?

Seating Arrangement with Derangement

Prove that $(1-x)^n \leq 1 -xn+\frac{n(n-1)}{2}x^2$ when $0\leq x\leq 1$ and $n\geq2$

Number of one-one function from sets $A$ to $B$.

Inclusion exclusion principle counting

Derangements $p$ of $1,2,\dots,n,n+1$ such that $n+1$ doesn't go to $n$

A Question on the Inclusion-Exclusion Principle in Probability Theory

Given $a_1, a_2, \cdots, a_N$ such that $a_1+a_2+\cdots +a_N = S$ for some given $S$, find the number of ways such that someone is $\geq T$.

Number of ways of coloring n objects which are laid in a row with k colors such that the adjacent objects are of different colors

In how many ways can letters in a word CALCULUS be rearranged so that no two identical letters are adjacent?

What is the probability that no cup is on a saucer of the same colour?

Envelope Question: Five letters addressed to individuals 1-5 are randomly placed in five addressed envelopes, one letter in each envelope.

Trending Questions

Popular # Hahtags

Popular Questions