For the following problems we will use a set of playing cards, each marked by a number, 1 to 9 and a letter, a to e. So the cards are la, lb, lc ld, le, 2a,.., 9d, 9e. A total of 45 cards. Five of a kind means the same number, no mater what the letters are. Similar for four/three/ of a kind and pair. In this game every hand consist of 4 cards.

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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7. For the following problems we will use a set of playing cards, each marked by a number, l to 9 and a letter, a to
e. So the cards are la, lb, lc ld, le, 2a,.., 9d, 9e. A total of 45 cards. Five of a kind means the same number, no
mater what the letters are. Similar for four/three/ of a kind and pair. In this game every hand consist of 4 cards.
(a) How many different three of a kinds are there?
(b) How many hands will contain NO pairs? (no pair implies also no three or four of a kind)
Transcribed Image Text:7. For the following problems we will use a set of playing cards, each marked by a number, l to 9 and a letter, a to e. So the cards are la, lb, lc ld, le, 2a,.., 9d, 9e. A total of 45 cards. Five of a kind means the same number, no mater what the letters are. Similar for four/three/ of a kind and pair. In this game every hand consist of 4 cards. (a) How many different three of a kinds are there? (b) How many hands will contain NO pairs? (no pair implies also no three or four of a kind)
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