Background: Consider the probability of winning a lottery such as Megabucks. To play, one has to pick six numbers between 1 and 48, with no repeated numbers. The chance of your number being the winning number is 1 /12271512 or 0.0000000815 Question: When the lottery first came out, you only had to pick six different numbers between 1 and 36.  If you bought one ticket for this type of lottery: How many ways can each combination of 6 numbers be arranged?

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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Background:

Consider the probability of winning a lottery such as Megabucks. To play, one has to pick six numbers between 1 and 48, with no repeated numbers. The chance of your number being the winning number is

1 /12271512 or 0.0000000815

Question:

When the lottery first came out, you only had to pick six different numbers between 1 and 36. 

If you bought one ticket for this type of lottery:

How many ways can each combination of 6 numbers be arranged?

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