(e) How many integers are there from 1,0 through 9,99 (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?

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### Questions for Exploration on Integers

Consider the following questions about integers within specified ranges:

(a) **Total Integers**  
How many integers are there from 1,000 through 9,999?  
[Answer box]

(b) **Odd Integers**  
How many odd integers are there from 1,000 through 9,999?  
[Answer box]

(c) **Integers with Distinct Digits**  
How many integers from 1,000 through 9,999 have distinct digits?  
[Answer box]

(d) **Odd Integers with Distinct Digits**  
How many odd integers from 1,000 through 9,999 have distinct digits?  
[Answer box]

(e) **Probability of Distinct Digits**  
What is the probability that a randomly chosen four-digit integer has distinct digits?  
[Answer box]

What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?  
[Answer box]
Transcribed Image Text:### Questions for Exploration on Integers Consider the following questions about integers within specified ranges: (a) **Total Integers** How many integers are there from 1,000 through 9,999? [Answer box] (b) **Odd Integers** How many odd integers are there from 1,000 through 9,999? [Answer box] (c) **Integers with Distinct Digits** How many integers from 1,000 through 9,999 have distinct digits? [Answer box] (d) **Odd Integers with Distinct Digits** How many odd integers from 1,000 through 9,999 have distinct digits? [Answer box] (e) **Probability of Distinct Digits** What is the probability that a randomly chosen four-digit integer has distinct digits? [Answer box] What is the probability that a randomly chosen four-digit integer has distinct digits and is odd? [Answer box]
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