MathDB
n members from n identical and 2n+1 different

Source: 10th QEDMO p4 Juniors (8-10. 12. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507

May 16, 2021
combinatorics

Problem Statement

In year 25252525 the QED has 3n+13n + 1 members, of which nn are identical robots and 2n+12n + 1 (uncloned and therefore distinguishable) people. For the 263th263^{th} board election in Wurzburg there will be exactly nn members. Find out how many distinguishable compositions are conceivable for this.