Question 89
Bob cuts an apple into either $20$ or $14$ pieces. Then he cuts one of these pieces into either $20$ or $14$ pieces. He repeats this procedure several times.
Can Bob obtain $1! + 2! + 3! + \dots + 1013! + 2014!$ small bits of the apple?
Can Bob obtain $1! + 2! + 3! + \dots + 1013! + 2014!$ small bits of the apple?