Symphony, K. 75 (Mozart) works from this time period, such as the K. 97 symphony, the autograph, which was in the possession of Breitkopf & Härtel, was destroyed during World War II. Mozart's authorship therefore remains uncertain. Most professionals consider the work authentic. The Alte Mozart-Ausgabe (published 1879–82) gives the numbering sequence 1–41 for the 41 numbered symphonies. The unnumbered symphonies (some, including K. 75, published in supplements to the Alte-Mozart Ausgabe until 1910) are sometimes given numbers in the range 42 to 56, even though they were written earlier than Mozart's Symphony No. 41 (written in 1788). The symphony K. 75 is given
Rencontres numbers Rencontres numbers In combinatorial mathematics, the rencontres numbers are a triangular array of integers that enumerate permutations of the set { 1, ..., "n" } with specified numbers of fixed points: in other words, partial derangements. ("Rencontre" is French for "encounter". By some accounts, the problem is named after a solitaire game.) For "n" ≥ 0 and 0 ≤ "k" ≤ "n", the rencontres number "D" is the number of permutations of { 1, ..., "n" } that have exactly "k" fixed points. For example, if seven presents are given to seven different people, but only two are destined to