Some casinos use 5 standard 52-card decks mixed together into one big deck (calleda superdeck ). So, the superdeck has 52 · 5 = 260 cards, with 5 copies of each card. Howmany different 5-card hands can be dealt from the superdeck? The order of the cards doesnot matter, nor does it matter which of the 5 original decks the cards came from. Expressyour answer using binomial coefficients (the number will be quite large, so it’s easier to writeit this way!).Hint: try a sticks and stones argument. What should the sticks (or Ishould say, the gaps betweens them) represent? What should the stones represent? Figurethese out before continuing with this problem
Some casinos use 5 standard 52-card decks mixed together into one big deck (calleda superdeck ). So, the superdeck has 52 · 5 = 260 cards, with 5 copies of each card. Howmany different 5-card hands can be dealt from the superdeck? The order of the cards doesnot matter, nor does it matter which of the 5 original decks the cards came from. Expressyour answer using binomial coefficients (the number will be quite large, so it’s easier to writeit this way!).Hint: try a sticks and stones argument. What should the sticks (or Ishould say, the gaps betweens them) represent? What should the stones represent? Figurethese out before continuing with this problem
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Some casinos use 5 standard 52-card decks mixed together into one big deck (called
a superdeck ). So, the superdeck has 52 · 5 = 260 cards, with 5 copies of each card. How
many different 5-card hands can be dealt from the superdeck? The order of the cards does
not matter, nor does it matter which of the 5 original decks the cards came from. Express
your answer using binomial coefficients (the number will be quite large, so it’s easier to write
it this way!).
Hint: try a sticks and stones argument. What should the sticks (or I
should say, the gaps betweens them) represent? What should the stones represent? Figure
these out before continuing with this problem
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