Problem #PRU-5067

Problems Discrete Mathematics Combinatorics

Problem

A group of 15 elves decided to pay a visit to their relatives in a distant village. They have a horse carriage that fits only 5 elves. In how many ways can they assemble the ambassador team, if at least one person in the team needs to be able to operate the carriage, and only 5 elves in the group can do that?