MathDB
2019 BMT Team 4

Source:

January 7, 2022
combinatorics

Problem Statement

Let C be the number of ways to arrange the letters of the word CATALYSIS, T be the number of ways to arrange the letters of the word TRANSPORT, S be the number of ways to arrange the letters of the word STRUCTURE, and M be the number of ways to arrange the letters of the word MOTION. What is CT+SM\frac{C - T + S}{M} ?