12. Compute each of the following using the counting-up algorithm. a. 74 63 - b. 73 - 57

Q: ) How many ways are there to select an unordered group of eight numbers between 1 and 25 inclusive…

A: a) The objective is to find that how many ways are there to select an unordered of eight number…

Q: 2. What is the number of k-digit strings one can form over an n-element alphabet if (a) there are no…

A:

Q: 11. Given the following digits: 4, 3, 5, 8, 9, & 1. How many four-digit even numbers can be made…

A: Since you have posted multiple different questions, we have provided answer for first question only…

Q: Suppose that a group of 87 business were researched. 25 of them were open on the weekends, 18 of…

A: Given that  open on weekends = 25  paid more = 18  Both open on weekends and paid more =14  Govt.…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: Introduction: There are 4 digits to be selected for the game. Each digit can be any one between 0…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: i) All four digits are unique The probability is determined as below,…

Q: How many different six-digit codes can be formed using digits 0 through 9? What counting technique…

A: Given set of digits A= {0,1,2,3,4,5,6,7,8,9} Total number of digits = 10 we have to find six- digit…

Q: Suppose that a group of 86 business were researched. 23 of them were open on the weekends, 22 of…

A: Venn Diagram :- Venn diagram are pictural    representation of the relationship between   among…

Q: 1. State whether each arrangement represents a permutation or a combination.  a. 10 books on a…

A: For identifying the permutation and combination we must understand the definition of both. Please…

Q: d. How many ways can the letters of the word ALGORITHM be selected and written in a row if the…

A:

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: each is a permutation or a combination and then evaluate. 38. In how many ways can an investor…

A: The selection of elements without arrangement can be represented by a combination of elements. 38.…

Q: Be able to demonstrate the fact that at least 10 of the 64 days selected must occur on the same…

A: let we have selected 64 daysThen day 1 is any one week day from 7weekdaysLet day 1 is weekday xAfter…

Q: Give the transpose of the permutation [2, 5, 1, 6, 3, 4], and find the number of inversions in both…

A: To find- Give the transpose of the permutation 2, 5, 1, 6, 3, 4, and find the number of inversions…

Q: Which of the illustrates a permutation? A. Selecting a set of JS Prom committee consisting of 8…

A:

Q: How many ways are there of selecting r = 3 items from n = 8 without replacement ? (b) How many…

A:

Q: 14a-14d

A:

Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

A: To clarify the notion of an even permutation

Q: Complete the following without listing all 120 permutations in S5. 1. Determine the number of cycles…

A: Symmetric group

Q: The license plates in a certain country consist of 7 different digits, and the first one cannot be…

A:

Q: Suppose that 26 of the 65 state governors in a country were women. On each day of​ 2013, one of…

A: Given that 26 of the 65 state governors in a country were women.  That means the probability of…

Q: Answer each permutation problem completely. 1. During ECQ, only 1 family member is allowed to leave…

A: Hi there, Since you've posted multiple questions, we'll solve the first one as per our policy.…

Q: Find the smallest counting number n such that /n× 25200 is a counting number.

A: Find the smallest number n.

Q: 15. A rug manufacturer has decided to use five co rug, only four spindles can be used. In…

A: Given that -A rug manufacturer has decided to use five compatible colors in her rugs. However, in…

Q: In phase 2 of the San Diego County Fair, the 20 amateur artist are put into groups of 4 students to…

A: Number of unique groups of 4 artist and correct options from the list are as following.

Q: Solve the following set of combinations and permutations.   How many two digit numbers can be…

A: 1)From the provided information the four digits are 1,2,3,4, so the first digit can be any of these…

Q: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…

A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…

Q: Demonstate Trading off algorithm on following question: 38 +55

A: Trade off Algorithms : It is an algorithms in which one part decreases and another part Increases in…

Q: 1-23. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: 1-22 Let the teachers is A,B,C,D,E,F The sections are 1,2,3,4 Then, B takes section 1, E takes…

Q: Determine if each is a permutation or a combination and then evaluate. 37. In how many ways can a…

A:

Q: Suppose that a group of 88 college students were surveyed asking which sports, between volleyball,…

A: Given the survey results of a group of 88 college students asking which sports, between volleyball,…

Q: 7 A large company created a phone tree to contact all employees in case of an emergency. Each of the…

A:

Q: 11. Determine whether each of the following situations is a PERMUTATION or COMBINATION. 1.…

A: Here, we have to identify whether the situation is example of permutation or combination.

Q: 3. Is there an element of order 6 in S3? Explain.

A: S5 is a symmetric group of order 5.

Q: A person with $2 in her pocket bets $1, even money,on the flip of a coin, and she continues to bet…

A: Given data :person = $2Her pocket bets $1 , Suppose He bets on head .She gets $1 If geads turn up…

Q: 9. Use the algorithm to generate the next 22 permutations of {1,2,3,4,5} starting with 13275.

A: Given: A permuation {1, 2, 3, 4, 5} The algorithm for generating permutation follows an increasing…

Q: 13.How many permutations are there of the digits in the string 12345 that leave 3 fixed but leave no…

A: Solution is given below:

Q: Compute the following: N!(N-4)!

A: Note that n!=n×n-1×n-2×…×3×2×1. Consider the given expression N!N-4!. This can be written as…

Q: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

Q: Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings…

A:

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A:

Q: 2) (a) Recall that a standard deck of cards has 52 cards, consisting of 13 ranks with four suits…

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Q: Suppose that a group of 83 college students were surveyed asking which sports, between volleyball,…

A: Please refer to the image.

Q: How many different heptominoes (made from 7 squares) are there that have 5 squares in a column and 1…

A:

Q: In a states pick 3 lottery game, you pay $1.43 to select a sequence of three digits (from 0 to 9)…

A:

Q: 5. Construct the state diagram of the following overlapping sequences. a.) 10110 sequence using…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A:

Q: Would the following situation best be represented using a combination or a permutation? Two socks…

A: Combination used when order of object does not matter and permutation used when order of selection…

Q: 4. Given the following digits: 2. 3. 5. 6, 7,9. a. How many 3-digit mumber combinations can be made…

A: The permutation is calculated for the values which are arranged in the order from. It is denoted as…

Q: Count the number of permutations o in S6 with o(1) = 2 and o(2) = 3.

A: We have to count the number of permutation  σ in S6 with σ1=2 and σ2=3. Consider σ in S6 as a…