query: In the card came "Projective Set", show that 7 cards do always contain a set.
positive_passages.docid: 141927
positive_passages.text: In the card game "Projective Set": Compute the probability that $n$ cards contain a set
negative_passages.docid: 57959
negative_passages.text: Every $n > 17$ is a non-negative integer combination of $4$ and $7$.
negative_passages.docid: 65978
negative_passages.text: How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
negative_passages.docid: 139935
negative_passages.text: Show that any set of 7 distinct integers includes two integers $x$ and $y$, such that either $x-y$ or $x+y$ is divisible by 10
negative_passages.docid: 65549
negative_passages.text: What is the cartesian product of an empty set of sets?
negative_passages.docid: 45508
negative_passages.text: Is the empty set a group?
negative_passages.docid: 9082
negative_passages.text: Do sets, whose power sets have the same cardinality, have the same cardinality?
negative_passages.docid: 127100
negative_passages.text: Countable or uncountable set 8 signs
negative_passages.docid: 37183
negative_passages.text: Show that the set of all $x$ such that $x \in P$ and $x \notin Q$ exists
negative_passages.docid: 53126
negative_passages.text: Probability of collecting all 5 buying 7 chocolates
negative_passages.docid: 89345
negative_passages.text: Is drawing multiple cards an atomic action?
negative_passages.docid: 74440
negative_passages.text: How does the axiom of regularity forbid self containing sets?
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 37331
negative_passages.text: Prove that every set with more than one element has a permutation without fixed points
negative_passages.docid: 74860
negative_passages.text: Why is the empty set a subset of every set?