There are 5! numbers that can be written with the digits 1, 2, 3, 4, 5,...
There are 5! numbers that can be written with the digits 1, 2, 3, 4, 5, such that no digit is repeated.
Suppose that these numbers are listed in increasing order (12345, 12354, 12435, 12453, . . .).
(a) In this list, what is the position of the number 35421?
(b) What is the 100-th entry in the list?
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There are 5! numbers that can be written with the digits 1, 2,
3, 4, 5,...
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can...
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5;...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
Consider the number 35964 How many 3 digit numbers can be formed using digits from 35964...
Consider the number 35964 How many 3 digit numbers can be formed using digits from 35964 if no digits may be repeated? What is the sum on all of those 3 digit numbers?
Building Numbers with Specified Digits In Exercises 45-48, counting numbers are to be formed using only...
Building Numbers with Specified Digits In Exercises 45-48, counting numbers are to be formed using only the digits 3, 4, and 5. Determine the number of different possibilities for each type of number described. 45. two-digit numbers 46. odd three-digit numbers 47. four-digit numbers with one pair of adjacent 4s and no other repeated digits (Hint: You may want to split the task of designing such a number into three parts, such as Part I position the pair of 4s,...
How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5,...
How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7 if each digit can be used only once, how many are greater than 330
Python Algorithm Coding There are N paper with three letters written on each paper. Characters are 0 to 9 digits or *.Yo...
Python Algorithm Coding
There are N paper with three letters written on each paper.
Characters are 0 to 9 digits or *.You can create a continuous
number by attaching the paper in a proper order. Print out the
maximum number of digits sum of a sequence of numbers that can be
made when N paper is given.
For example, suppose you have a piece of paper with a lettering
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Discrete Mathematics. Thank You!! 3. Using the digits 1, 2, 3 and 5, how many 4...
Discrete Mathematics. Thank You!!
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Introduction: Ten digit ISBN numbers are created so that the first nine digits are information digits and the last digit is a check digit. T his last number helps people notice and correct mistakes that might be made in recording the information digits. The same is true for thirteen digit ISBN numbers. Here is a ten digit ISBN number: 0-13-149498-8. The digit 0 indicates the book is written for English-speaking people. The number 13 and the number 149498 identify the...
Counting numbers are to be formed using only the digits 6, 8, and 9. Determine the...
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will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value...
will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value of the ones digit is one tenth of the value in the tens digit 4.The value of the tenths digit is 10 times as much as the value of the hundreds digit 5.The sum of the tenths and hundredths digits is equal to...
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
Building Numbers with Specified Digits In Exercises 45-48, counting numbers are to be formed using only the digits 3, 4, and 5. Determine the number of different possibilities for each type of number described. 45. two-digit numbers 46. odd three-digit numbers 47. four-digit numbers with one pair of adjacent 4s and no other repeated digits (Hint: You may want to split the task of designing such a number into three parts, such as Part I position the pair of 4s,...
Python Algorithm Coding
There are N paper with three letters written on each paper.
Characters are 0 to 9 digits or *.You can create a continuous
number by attaching the paper in a proper order. Print out the
maximum number of digits sum of a sequence of numbers that can be
made when N paper is given.
For example, suppose you have a piece of paper with a lettering
as shown below.
In this case, the consecutive numbers of strings...
Discrete Mathematics. Thank You!!
3. Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? (5 points) b) The first digit must be 1 and repetition of the digits is not allowed? (5 points)
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