How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed...
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed and the number must contain the digit 3 somewhere. Hint: it may be easier to first count the numbers that don't contain the digit 3.
Homework Answers
Total number of 4 digit numbers that can be formed is
Total number of 4 digit numbers that can be formed without 3 is
Hence number of 4 digit numbers without digit 3 is
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How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2,...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
Discrete Mathematics. Thank You!! 3. Using the digits 1, 2, 3 and 5, how many 4...
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)
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.
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?
101 ned if repetition of the digit is not allowed? Problem #3: In a certain country,...
101 ned if repetition of the digit is not allowed? Problem #3: In a certain country, license plate numbers have 3 letters followed by 4 digits. How many different license plate numbers can be formed? (letters and digits may be repeated).
1. A) How many three-digit numbers are there for which the sum of the digits is at least 25? B) How many three-digit numbers can be formed if only odd numbers are allowed to be re-used Please combinat...
1. A) How many three-digit numbers are there for which the sum of the digits is at least 25? B) How many three-digit numbers can be formed if only odd numbers are allowed to be re-used Please combinatorics principles where applicable.
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
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,...
please I wanted answered step by step 9) How many 4-digit numbers can be formed using...
please I wanted answered step by step
9) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 256 four-digit numbers B) 8999 four-digit numbers C) 10,000 four-digit numbers D) 9000 four-digit numbers 10) If $4100 earned simple interest of $233.02 in 11 months what was the simple interest rate? A) 7.2% B) 6.2% C) 8.2% D) 5.2% 11) How long will it...
How many different 3 digit numbers less than 500 can be made using the digits 3, 4, 5, and 6 if the digits can be used only once
How many different 3 digit numbers less than 500 can be made using the digits 3, 4, 5, and 6 if the digits can be used only once
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)
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.
101 ned if repetition of the digit is not allowed? Problem #3: In a certain country, license plate numbers have 3 letters followed by 4 digits. How many different license plate numbers can be formed? (letters and digits may be repeated).
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,...
please I wanted answered step by step
9) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 256 four-digit numbers B) 8999 four-digit numbers C) 10,000 four-digit numbers D) 9000 four-digit numbers 10) If $4100 earned simple interest of $233.02 in 11 months what was the simple interest rate? A) 7.2% B) 6.2% C) 8.2% D) 5.2% 11) How long will it...
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