Math Problem Statement
Professor Tannen and 9 TAs are preparing for an important conference. They are arranging themselves around a circular table. Two seatings are considered the same if every person has the same left and right neighbors. However, there is a certain constraint to this arrangement: three TAs, Gamma, Delta, and Epsilon, insist on sitting together in a consecutive block (but the order within this block does not matter). How many different seating arrangements satisfy these conditions?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Combinatorics
Circular Permutations
Formulas
Number of arrangements for n distinct objects in a circle: (n-1)!
Permutations of a block of k objects: k!
Theorems
Circular Permutation Theorem
Suitable Grade Level
Grades 11-12
Related Recommendation
Ways to Seat 10 People Around 11 Identical Chairs in Circular Seating
How to Arrange 10 Men and 7 Women Around a Circular Table with Restrictions
Combinatorics Problem: Arranging Representatives in a Circular Meeting
Counting Arrangements in a Circular Seating Problem
Circular Permutations: Council Seating Puzzle with Constraints