You are looking for an item in an ordered list 450,000 items long (the length of Webster’s Third New International Dictionary). How many steps might it take to find the item with a sequential search? A binary search?

Q: Use the greedy algorithm to make change using Quarters, Dimes, and Pennies (but no Nickels) for 43…

A: The total amount n is first compared with the largest denomination. As long as the total amount n…

Q: Perform Center-Star Algorithm on the following 5 sequences and find the best multiple sequence…

A: In center star method set of K sequences is given. We find a multiple alignment D of K by inserting…

Q: Use: a) Bubble Sort algorithm to sort the following numbers. 23 15 19 11 b) Russian Peasant…

A: a) 23  15  19  11  7b) multiply 362 by 41

Q: Describe a way other than using the standard subtraction algorithm to calculate 842 — 398 mentally…

A: In the question it is asked to calculate difference in (842-398) without using pen, paper or…

Q: ) In how many ways can 8 binary digits be picked if each must be picked an even number of times?

A:

Q: Use base-ten pieces to illustrate the long-division algorithm. In separate steps, show which…

A: When 216 is divided by 3, 72 is the quotient and 0 is the remainder. 216 is represented by 2 flats,…

Q: How many 10-bit strings begin with "101" or "00"?

A:

Q: Build a binary search tree for the words: hair, pies, chemical, keen, silver, drum, crib, huge,…

A: To build a Binary Search Tree:- Rules are A parent node has at most 2 child nodes The right child…

Q: What pages will be favored for the given search? Search terms: Michael OR Jordan   Pages…

A: Searching for Michael or Jordan means It will favor pages about Michael   It will be Favored about…

Q: When we multiply 38 × 73 using the standard algorithm, we start the second row by writing a zero, as…

A: In the second multiplication, one has to add a zero in the once places. This is because we are…

Q: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

A:

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: How many different 16- bit strings contain exactly 4 1s?

A: According to the given information the total number of bits in a string is 16.It is needed to…

Q: Give a recursive definition of the sequence 2, 4, 6, 8, 10, . Then write the corresponding recursive…

A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: How many 15-bit strings contain exactly seven 1's?

A: Out of 15 strings one must pick 7 of them to contain 1’s and other 8 will contain 0’s.

Q: (1). How many different words (including nonsense words) can you make by rearranging the letters of…

A: 1) The given word is “EFFERVESCENCE”. The total number of letters is 13. There are 2 C’s, 5 E’s,…

Q: In how many ways can the letters of the word FACES be rearranged

A: the number of letters in the word FACES is 5  All the letters are distinct , therefore, number of…

Q: Write an algorithm to print the largest number between three numbers 2.

A:

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: How many strings of eight uppercase English letters are there that start with X, if no letters are…

A: We have 26 possible letters in English alphabet: Now we have to form a string of eight uppercase…

Q: Describe a way to calculate 304 – 81 mentally, by using reasoning other than the common sub-…

A: Subtraction becomes easy when the numbers used are whole numbers. That is subtracting 50 from 100…

Q: How many distinct permutations can be made from the letters of the word "COMBINATORICS" ?

A: Given word is: "COMBINATORICS" Total number of letters are 13. Multiplicity of letter C is 2.…

Q: When we multiply 38 × 73 using the standard algorithm, we start the second row by writing a zero, as…

A:

Q: Use base-ten pieces to illustrate the long–division algorithm. In separate steps, show which…

A: Here, divident= 324 Divisor=6 Quotient=54

Q: Find the greatest common divisor, GCD (133, 63), using the recursive algorithm.

A: To find the gcd using recursive algorithm We need to first divide  larger number by smaller number…

Q: How to do standard algorithm?

A: In Mathematics, any of the complex problem can be solved by breaking it into logical steps and then…

Q: Find the number of different ways to rearrange letters in the word PERMUTATION such that all the…

A: Here PERMUTATION word contains total 11 letter Of which A,E,I,O,U are vowels(5 vowels in given word)…

Q: 34. Use the bubble sort to sort 6, 2, 3, 1, 5, 4, showing the lists obtained at each step.

A: First step : 2, 6, 3, 1, 5, 4 [First swap]                     2, 3, 6, 1, 5, 4 [Second swap]…

Q: For the RSA algorithm with a large n, explain why Bob can calculated from n, but Eve cannot.

A: Hint: We need to discuss that what technique Bob is using.

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: 11. Explain what is a factorial and show an example of how to compute it.

A: A factorial of a number is the product of all positive integers less than or equal to the given…

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: Use generating functions to find the number of ways tochoose a dozen bagels from three…

A: Consider the provided question, Each variety is present at least 2 times in the dozen bagels, the…

Q: gcd (40489, 76397) by euclid's algorithm

A:

Q: use your own words to describe the steps of the method of mathematical induction

A: We have to write the steps for method of mathematical induction

Q: In how many ways can 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: Use base-ten pieces to illustrate the long–division algorithm. In separate steps, show which…

A: When 378 is divided by 7, 54 is the quotient and 0 is the remainder. 378 is represented by 3 flats,…

Q: How many 16-bit strings contain at least thirteen 1's? Explain your answer in every step and make…

A: The number of ways r items can be chosen from n different items is equal to nr . The formula for nr…

Q: Devise an algorithm that finds the sum of all the integers in a list.

A: We will write an algorithm that finds the sum of all the integers in a list

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

A:

Q: How many 16-bit strings contain at least thirteen 1's?

A: Use the following formula, to obtain the solution. nr=n!r!n-r!n!=nn-1n-2⋯321n!=nn-1!0!=1

Q: Use the greedy algorithm to make change using Quarters, Dimes, and Pennies (but no Nickels) for 51…

A:

Q: How many 9-bit strings start with 101 or end with 10 or both?

A: How many 9-bit strings start with 101 or end with 10 or both. There are 9-bits, and we start with…

Q: How many binary strings of length 10 are there in which the number of 0's in the string is not equal…

A: We have to find the numbers of binary strings of length 10 are there in which the number of 0's in…

Q: Find the next: 1) classboundaries, class mark.

A: 1. class boundaries and class mark The provided frequency distribution is Group No Frequency (fi)…

Q: How many total ways are there to select a group of five letters from the word ALGORITHM and arrange…

A: using the concept of permutation...

Q: How many 10-bit strings contain 5 or more 1's?

A:

Q: How many different rearrangements are there of the letters in the word "MATHEMATICS"?

A: Given that  Word :  MATHEMATICS Number of letters in the word (n) = 11 Number of repeated letters =…