11 4 Solve 11 divided by 4 in the algorithm. 4) RO 4 1 -

Q: 1. How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5 if the last digit is either 5 or 0. We have to find the number of 5 digit…

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: 2. Suppose that 21 girls and 21 boys enter a mathematics competition. Furthermore, suppose that each…

A: Consider a mathematics competition of 21 girls and 21 boys along with the condition that each…

Q: 5 identical copies of a movie will be stored on 20 computers such that each computer has at most 1…

A: Given: 5 identical copies of a movie will be stored on 20 computers

Q: supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: Given, a supermarket wants to send codes for $0.25 off abag at chips to its rewards program…

Q: In each problem, please indicate what kind of permutations is involved, then solve. Show ypur…

A: Given that  1.. Seven runners join a race. In how many possible ways can they be arranged as first,…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: b) A website requires a password that consist of 6 alphabets and 6 digits. Find the number of…

A: A website requires a password that consist of 6 alphabets and 6 digits. There are totally 26 letters…

Q: A student is allowed to select at most n books from a collection of (2n+1) books. If the total…

A: We will solve the problem

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: Given that there are 23 letters and 8 digits. And repetition of letters is allowed. Each code will…

Q: 6) solve y'- with the putzer algorithm. 2.

A:

Q: A password has a length of four letters of the 26 in the English alphabet. If the password only has…

A: no.of english alphabets=26

Q: What is the largest number in the row starting "1 4 ..." of Pascal's triangle?   What is the sum…

A: To find what is the largest number in the row starting "1 4 ..." of Pascal's triangle? To find what…

Q: How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that the…

A: To form a 3 digit number, we start we can not place 0 on hundreds position since that will make it a…

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: This question is related to permutations and combinations, we will solve it  using given…

Q: The number of 3-permutations of 5 objects with repetition allowed is 51 / (5-3)! 35 5x3 53

A:

Q: How many different integers must be selected to guarantee that at least 5 of them would have the…

A: Dividing any integer by 3, can have remainder 0, 1 or 2. Therefore, possibilities for remainder are…

Q: When 217 is divided by 7 according to the Division Algorithm the quotient q is and the remainderr is…

A: To find:- When 217 is divided by 7 according to the Division Algorithm what is the quotient q is and…

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A:

Q: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: There are 24 letters and 7 digits that would be used to generate a coupon with one digit follows by…

Q: A, B and C can finish the same job in 7, 9, and 12 days respectively. All of them worked for 2 days…

A:

Q: Compute P5,2. (Enter an exact number.)

A: Obtain the value of P5,2.  The value of P5,2 is obtained below:   Permutation: A permutation is an…

Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: We have to find out answer of given question....

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A: Given information: Total number of letters that can be used for password = 26 Total number of…

Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

Q: 7. How many 10 bit strings have an equal number of 0's and 1's? How many have 8 (and only 8)…

A:

Q: Suppose each license plate In a certain state has three letters followed by three digits. The…

A:

Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: Spider has one sock and one shoe for each of its 8 legs. In how many different ways can the spider…

A: There are 8 socks and 8 shoes.

Q: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: Given, a supermarket wants to send codes for $0.25 off a bag at chips to its rewards program…

Q: 9. Consider a number with 8 digits but using only digits 1, 2, 3 and 4. a) How many numbers can we…

A:

Q: 2. How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repetitions are…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: How many three digit passcode can be made from the digits 0-9in the first number is not allowed to…

A:

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

A:

Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: As each id code will have two letters, followed by one digit, followed by one letter thus,

Q: How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is…

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: In trying use the Sieve of Eratosthenes find all prime numbers less than 300, when do we stop the…

A: Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given…

Q: Compute P9,2. (Enter an exact number.)

A:

Q: What is the largest n for which one can solve within one second a problem using an algorithm that…

A:

Q: Theoretically, if you toss two coins together forty-eight times, how many times should you get a…

A: Given information Sample space when tossing two coins S = {(HH),(HT),(TH),(TT)} Two coins is tossed…

Q: How many three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

Q: A password must have 2 letters from the school acronym SSPU and 3 digits from 1 to 9. How many…

A:

Q: 3) Among a group of seven (not necessarily consecutive) integers, how many must be divided by 5 to…

A: This is a problem related to divination rule of the mathematics. Based on the general concept we…

Q: If you are using the Sieve of Eratosthenes to find all the prime numbers between 50 and 150, how…

A:

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A: Given - A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second…

Q: Suppose each license plate in a certain state has one digit, followed by four letters, followed by…

A: Given, Each license plate in a certain state has one digit followed by four letters followed by one…

Q: A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list.…

A: Given that there are 3 positions for letters. Each position can have 23 choices. So the total…