MathDB

Maisy and Jeff are playing a game with a deck of cards with

4

0

’s,

4

1

’s,

4

2

’s, all the way up to

4

9

’s. You cannot tell apart cards of the same number. After shuffling the deck, Maisy and Jeff each take

4

cards, make the largest

4

-digit integer they can, and then compare. The person with the larger

4

-digit integer wins. Jeff goes first and draws the cards

2,0,2,1

from the deck. Find the number of hands Maisy can draw to beat that, if the order in which she draws the cards matters.
Proposed by Richard Chen

Problem Statement