4

Part of 2011 QEDMO 10th

Problems(1)

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

2525

3n + 1

members, of which

n

are identical robots and

2n + 1

(uncloned and therefore distinguishable) people. For the

263^{th}

board election in Wurzburg there will be exactly

n

members. Find out how many distinguishable compositions are conceivable for this.