4

Part of 2022 Girls in Math at Yale

Problems(1)

Girls in Math at Yale 2022 Problem 4: Kara Do Be Rollin' Dice

Source:

Kara rolls a six-sided die, and if on that first roll she rolls an

n

, she rolls the die

n-1

more times. She then computes that the product of all her rolls, including the first, is

8

. How many distinct sequences of rolls could Kara have rolled?
Proposed by Andrew Wu