Math Problem Statement

安排包含x和y在內的12個人分坐成兩行,每行有6個人。若x和y須相鄰而坐,求安排坐位的方法數目

Solution

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Math Problem Analysis

Mathematical Concepts

Permutation
Combination
Adjacency in Seating Arrangements

Formulas

n! (Factorial for Permutation)
C(n, k) (Combination formula for selecting k items from n)
Permutation of distinct units: P(n, r) = n! / (n - r)!

Theorems

Fundamental Principle of Counting

Suitable Grade Level

Grades 9-12