Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total. (b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third. (a) There are numbers between 100 and 699 that contain exactly one 1. (Type a whole number.)
Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total. (b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third. (a) There are numbers between 100 and 699 that contain exactly one 1. (Type a whole number.)
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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
Transcribed Image Text:Complete the following.
(a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total.
(b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third.
(a) There are
numbers between 100 and 699 that contain exactly one 1.
(Type a whole number.)
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