Girls in Math at Yale 2021 Problem 6: Kara Rolls Dice
Source:
February 27, 2021
Yalecollege
Problem Statement
Kara rolls a six-sided die six times, and notices that the results satisfy the following conditions:[*] She rolled a exactly three times;
[*] The product of her first three rolls is the same as the product of her last three rolls.How many distinct sequences of six rolls could Kara have rolled?Proposed by Andrew Wu