query: Number of handshakers in a conference
positive_passages.docid: 81899
positive_passages.text: Could one be a friend of all?
negative_passages.docid: 76732
negative_passages.text: Number of non-isomorphic groups of order 21
negative_passages.docid: 36351
negative_passages.text: Having, holding, giving, and throwing parties
negative_passages.docid: 139325
negative_passages.text: How many wand makers are there?
negative_passages.docid: 148852
negative_passages.text: calculating expected number of packets.
negative_passages.docid: 126543
negative_passages.text: Combinatorics problem: $n$ people line up to $m$ clubs
negative_passages.docid: 74114
negative_passages.text: How to find the number of anti-symmetric relations?
negative_passages.docid: 98096
negative_passages.text: Group of $r$ people at least three people have the same birthday?
negative_passages.docid: 45221
negative_passages.text: A situation when two or more people speak at the same time
negative_passages.docid: 90572
negative_passages.text: Seating of $n$ people with tickets into $n+k$ chairs with 1st person taking a random seat
negative_passages.docid: 150907
negative_passages.text: Notation and the name choice for meet and join (in order theory)
negative_passages.docid: 124224
negative_passages.text: How many groups of order $n$ with center {e} exist?
negative_passages.docid: 30335
negative_passages.text: hotel occupancy counting problem
negative_passages.docid: 33639
negative_passages.text: In how many ways can $2n$ players be paired?
negative_passages.docid: 61953
negative_passages.text: Usage of the word "meet" in the context of a phone call/video conference
negative_passages.docid: 70793
negative_passages.text: Person, Persons, People, Peoples
negative_passages.docid: 111324
negative_passages.text: Finding number of relations on a set with 3 elements