24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit numbers are possible if repetition is allowed? b) How many 4-digit numbers are possible if repetition is not allowed? c) How many 4-digit number are possible if repetition is allowed and adjacent digits must differ? d) If repetition of digits is not allowed, what is the probability that the 4-digit number is an even number? e) If repetition of digits is not allowed, what is the probability that the 4-digit number is greater than 8000? f) If repetition of digits is not allowed, how many 4-digit even numbers greater than 8000 are possible?

24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit numbers are possible if repetition is allowed? b) How many 4-digit numbers are possible if repetition is not allowed? c) How many 4-digit number are possible if repetition is allowed and adjacent digits must differ? d) If repetition of digits is not allowed, what is the probability that the 4-digit number is an even number? e) If repetition of digits is not allowed, what is the probability that the 4-digit number is greater than 8000? f) If repetition of digits is not allowed, how many 4-digit even numbers greater than 8000 are possible?

Name: 24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8,
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Description: 24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}.a) How many 4-digit numbers are possible if repetition is allowed?b) How many 4-digit numbers are possible if repetition is not allowed?c) How many 4-digit number are possible

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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24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}.
a) How many 4-digit numbers are possible if repetition is allowed?
b) How many 4-digit numbers are possible if repetition is not allowed?
c) How many 4-digit number are possible if repetition is allowed and adjacent digits must differ?
d) If repetition of digits is not allowed, what is the probability that the 4-digit number is an even number?
e) If repetition of digits is not allowed, what is the probability that the 4-digit number is greater than 8000?
f) If repetition of digits is not allowed, how many 4-digit even numbers greater than 8000 are possible?

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