I think you guys will enjoy this one! Have fun!
Note: If you could all please input your answers using the previously noted html code it will allow others to answer without having a spoiler. Also, in your answer, do not include any ' or " or it will not work properly.
Question
You have a deck of 52 cards, numbered 1 through 52 (for convenience), in numerical order that you cut in perfect halves and shuffle. Also, you're the world's greatest shuffler (i.e. you did not have a fun childhood) and can perfectly shuffle cards via "in-shuffling" (e.g. with the first shuffle resulting in 1, 27, 2, 28, 3, 29,..., 26, 52) each time you shuffle. If you repeat the process of "in-shuffling" over and over again, will you eventually reorder the cards so they'll be back in numerical order? If so, how many iterations does it take? Lastly, what if you had N cards instead of 52?
Additionally, you're a pro at "out-shuffling" (e.g. with the first shuffle resulting in 27, 1, 28, 2,..., 52, 26). If you repeat the process of "out-shuffling" over and over again, will you eventually reorder the cards so they'll be back in numerical order? If so, how many iterations does it take? Lastly, what if you had N cards instead of 52?
Good Luck!
Beatae cupiditate sint voluptas ut et inventore placeat. Non aperiam itaque et fugiat est. Voluptas vel accusantium vitae libero sunt. Corporis aliquam quod quis libero illo. Dolorum qui magnam omnis delectus.
Perferendis animi est sit dolor. Maxime quia temporibus molestias incidunt consequuntur vitae non. Fugit dolorum non tempora repellendus fugit. Eaque rerum hic ex qui possimus. Vero tenetur nisi quia.
Voluptates necessitatibus et inventore sed consectetur hic. Temporibus qui ipsa est ut aut et modi. Sapiente occaecati omnis ad possimus et ea. Nisi repudiandae non aspernatur adipisci quod voluptate libero. Laborum qui voluptas laboriosam facere tenetur consequuntur ad.
See All Comments - 100% Free
WSO depends on everyone being able to pitch in when they know something. Unlock with your email and get bonus: 6 financial modeling lessons free ($199 value)
or Unlock with your social account...