Counting numbers are to be formed using only the digits 6, 8, and 9. Determine the...
Counting numbers are to be formed using only the digits 6, 8, and 9. Determine the number of different possibilities for the type of number described below. Four-digit numbers with one pair of adjacent 6s and no other repeated digits (Hint: You may want to split the task of designing such a number into three parts, such as (1) position the pair of 6s, (2) position the 8, and (3) position the 9.)
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Counting numbers are to be formed using only the digits 6, 8,
and 9. Determine the...
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,...
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?
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.
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...
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...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume 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 400? Hint: Partition the event...
Introduction: Ten digit ISBN numbers are created so that the first nine digits are information digits...
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...
8. (6 points) How many six-digit numbers with a possible leading zero, but no repeated numbers...
8. (6 points) How many six-digit numbers with a possible leading zero, but no repeated numbers are there if the digits 7 and 8 must appear in the number and must be next to each other?
Count the number of 6-digit numbers with: Strictly ascending digits from left to right. For example...
Count the number of 6-digit numbers with:
Strictly ascending digits from left to right.
For example 124579. Hint: any 6 distinct digits can be arranged in
ascending order in a unique way.
- The answer is 84
Ascending digits from left to right. For example 133588,
566666, 788888. (hint: choose 6 digits out of {1,2,⋯,9} with
repetition).
What ascending means is that each number is at least the
previous.
- Please solve the second part of the question.
Ascending digits...
numbers are formed using all the digits 1, 2, 3, 4 ,5, 7, 8,9 without repetition....
numbers are formed using all the digits 1, 2, 3, 4 ,5, 7, 8,9 without repetition. Determine the number of possible permutations in the following case. Show all steps in factorial form before final answers. 9 is before 1 but not necessarily adjacent to it. i.e, 912345678 or 234956178
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...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume 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 400? Hint: Partition the event...
8. (6 points) How many six-digit numbers with a possible leading zero, but no repeated numbers are there if the digits 7 and 8 must appear in the number and must be next to each other?
Count the number of 6-digit numbers with:
Strictly ascending digits from left to right.
For example 124579. Hint: any 6 distinct digits can be arranged in
ascending order in a unique way.
- The answer is 84
Ascending digits from left to right. For example 133588,
566666, 788888. (hint: choose 6 digits out of {1,2,⋯,9} with
repetition).
What ascending means is that each number is at least the
previous.
- Please solve the second part of the question.
Ascending digits...
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