(a) How many integers are there from 1,000 through 9,999?   (b) How many odd integers are there from 1,000 through 9,999?   (c) How many integers from 1,000 through 9,999 have distinct digits?   (d) How many odd integers from 1,000 through 9,999 have distinct digits?   (e) What is the probability that a randomly chosen four-digit integer has distinct digits?   What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 10T: A jar contains five red balls, numbered 1 to 5, and eight white balls, numbered 1 to 8. A ball is...
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(a)
How many integers are there from 1,000 through 9,999?
 
(b)
How many odd integers are there from 1,000 through 9,999?
 
(c)
How many integers from 1,000 through 9,999 have distinct digits?
 
(d)
How many odd integers from 1,000 through 9,999 have distinct digits?
 
(e)
What is the probability that a randomly chosen four-digit integer has distinct digits?
 
What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
 
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