1) In how many ways can three students be delegated to an interuniversity conference of 9 members of a scientific society? Solution: 2) Ten participants of the conference shook hands, shaking hands with each. How many handshakes were made in total? Check yourself! SOLUTION
Check yourself! 2) Ten participants of the conference shook hands, shaking hands with each. How many handshakes were made in total? Solution: 3) There are 6 girls and 4 boys in the school choir. In how many ways can 2 girls and 1 boy be selected from the school choir to participate in the performance of the district choir? Check yourself! SOLUTION
Check yourself! 3) There are 6 girls and 4 boys in the school choir. In how many ways can 2 girls and 1 boy be selected from the school choir to participate in the performance of the district choir? Solution: Check yourself! 4) In how many ways can 3 athletes be selected from a group of 20 to compete? SOLUTION
4) In how many ways can 3 athletes be selected from a group of 20 to compete? Check yourself! Solution: 5) There are 10 subjects in the class and 5 different lessons per day. In how many ways can lessons be distributed on one day? Check yourself! SOLUTION
5) There are 10 subjects in the class and 5 different lessons per day. In how many ways can lessons be distributed on one day? Check yourself! Solution:
Combinations with repetitions
Definition
Combinations with repetitions from m to n call compounds consisting of n elements selected from elements of m different types, and differing from one another by at least one element.
