Problem No.4: How many two-symbol code words can be formed if the first symbol ian uppercase letter and the second symbol is a digit?

Answered: Problem No.4: How many two-symbol code…

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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Suppose you are working at the State Department and to enter secure facilities requires a password. You create an 8 character password made up of 5 letters (A-Z) and 3 numbers (0-9). No letter or number can be repeated. How many different passwords are possible? a. 1,957,524,000 b. None of these c. 11,881,376,000 d. 5,683,392,000 e. 824,332,000
2. Nebuchadnezzar, a student in your class, has volunteered to answer the question of "What is 38 x 54?". He explained his solution the following way: Choose either number, say 38. Let's write "1" before it, and then keep doubling both these numbers: 1 2 4 8 16 32 64 38 76 152 304 608 1216 2432 Now we need to find the numbers in the first column that add to 54. These are 2, 4, 16, and 32. Now we add their counterparts in the second column (76, 152, 608, 1216) to arrive at the answer of 2052. NOTE: This method is commonly called the Egyptian Algorithm a) How does he do it? Clearly explain the mathematics behind his thinking. b) What would you do if someone did this in your classroom?
31. A Cryptarithm In the following addition problem, each letter represents one of the digits 0, 1, 2, 3, 4, 5, 6, 7,8, or 9. The leading digits represented by A and B are nonzero digits. What digit is represented by each letter? + BB ADD
Problem 9 How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different strings can be made from the letters in MISSISSIPPI, using all the letters? How many different strings can be made from the letters in ABRACADABRA, using all the letters? а. b. с.
A standard-issue 2020 New Jersey license plate had one letter, then two digits, followed by three letters. New Jersey DOO SPA Garden State These plates were not allowed to have letters D, T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2020?
Solve the following problems involving permutations: 1. Joshua wants to visit 5 resorts. In how many ways can he make the trip to the resorts? 2. In how many ways can we arrange the letters of the word ROME taken all at a time?
Jessie is creating a 10-character password that consists ofnumbers and letters (Each digit will be considered a character). He isnot allowed to have repeated characters, but lower case letters andupper-case letters are allowed (ex. “a” and “A” will be considereddifferent characters).a. How many different passwords can he create if “a” and “A” mustbe a part of the password. b. How many different passwords can he create if there must beat least 8 digits in the password?
2. Which of the following represents 0.0000382 written in scientific notation? A. 3.82 x 10S B. 3.82 x 105 С. 38.2 х 105 D. 38.2 x 105 O A C B.
Problem 9 There are 51 houses on a street. Each house has an address between 1000 and 1099, inclusive. Show that at least two houses have addresses that are consecutive integers. K
A large corporation has found that it has “outgrown” its current code system for routing inter office mail. The current system places a code of three ordered, distinct nonzero digits on the mail. The new proposal calls for the use of two ordered capital letters. Does the new system have more code numbers than the old system? If so, how many more locations will the new system enable the company to encode over the current system?

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Problem No.4: How many two-symbol code words can be formed if the first symbol is an uppercase letter and the second symbol is a digit?