Girls in Math at Yale 2022 Problem 4: Kara Do Be Rollin' Dice
Source:
February 27, 2022
Yalecollege
Problem Statement
Kara rolls a six-sided die, and if on that first roll she rolls an , she rolls the die more times. She then computes that the product of all her rolls, including the first, is . How many distinct sequences of rolls could Kara have rolled?Proposed by Andrew Wu