Arithmetic › Order of operations › Multiplication and division chains

Distinct values from parenthesised divisions

High school · ●●●○○ 50 pts

How many different values can be obtained by placing parentheses in all possible ways in the expression 2:3:5:7:11:13:17:19:23:292:3:5:7:11:13:17:19:23:29, where :: denotes division?

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countingcombinatoricsprime numbers