Answer to Question #274916 in Combinatorics | Number Theory for Jordan

Question

There are 21 pupils in a grade 7 class. The class teacher has to choose eight of the pupils for a group that will visit Germany in three months time. In how many different ways can the teacher select pupils for the group ?

Answer 1

$N=C_{21}^8=\frac{21!}{8!(21-8)!}=203490.$