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ASU 052 All Russian MO 1964 10.4 11.3 divisions x_1:x_2:...:x_n

Source:

June 18, 2019
combinatorics

Problem Statement

Given an expression x1:x2:...:xnx_1 : x_2 : ... : x_n ( :: means division). We can put the braces as we want. How many expressions can we obtain?