Q-4: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels always come together? b) In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? c) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?

Q-4: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels always come together? b) In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? c) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter2: Basic Elements Of C++

Section: Chapter Questions

Problem 1TF: 1. Mark the following statements as true or false. a. An identifier must start with a letter and can...

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1. Mark the following statements as true or false. a. An identifier must start with a letter and can be any sequence of characters. (1) b. In C++, there is no difference between a reserved word and a predefined identifier. (1) c. A C++ identifier cannot start with a digit. (1) d. The collating sequence of a character is its preset number in the character data set. (2) e. Only one of the operands of the modulus operator needs to be of type int. (3) f. If ; and ;, then after the statement ; the value of b is erased. (6) g. If the input is 7 and x is a variable of type int, then the statement ; assigns the value 7 to x. (6) h. In an output statement, the newline character may be a part of the string. (10) i. In C++, all variables must be initialized when they are declared. (7) j. In a mixed expression, all the operands are converted to floating-point numbers. (4) k. Suppose . After the statement ; executes, y is 5 and x is 6. (9) i. Suppose . After the statement ; executes, the value of a is still 5 because the value of the expression is not saved in another variable. (9)
Assume that a, b, c are numbers.Return 'increasing' if they are in increasing order, 'decreasing' if they are in decreasing order, 'both' if they are both increasing and decreasing, and 'neither' otherwise.Here, 'increasing' means that each value is at least as largeas its predecessor. Similarly for decreasing.The sequence 3, 4, 4 is increasing. whereasthe sequence 4, 4, 4 is both increasing and decreasing.For example,lenient(3, 4, 5) returns 'increasing'lenient(3, 4, 4) returns 'increasing'lenient(4, 4, 4) returns 'both'lenient(4, 3, 2) returns 'decreasing'lenient(4, 3, 3) returns 'decreasing'lenient(4, 2, 3) returns 'neither'
Question 5: (30 marks) In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, … a. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime(int num) b. Write a Java class called PrimeNumbers that: o Reads from the user a natural value n (should be less than or equal 200). o Prints a list of the prime numbers from 2 to n and their number and values. o The program has to work EXACTLY as given in the following sample run. Hints: • You should create a single dimension…
6.Code for an array of meeting time intervals consisting ofstart and end times [[s1,e1],[s2,e2],...] (si < ei),determine if a person could attend all meetings. For example,Given [[0, 30],[5, 10],[15, 20]],return false.""".
"""3. Write a function validSolution/ValidateSolution/valid_solution()that accepts a 2D array representing a Sudoku board, and returns trueif it is a valid solution, or false otherwise. The cells of the sudokuboard may also contain 0's, which will represent empty cells.Boards containing one or more zeroes are considered to be invalid solutions.The board is always 9 cells by 9 cells, and every cell only contains integersfrom 0 to 9. (More info at: http://en.wikipedia.org/wiki/Sudoku)""" # Using dict/hash-tablefrom collections import defaultdict def valid_solution_hashtable(board): for i in range(len(board)): dict_row = defaultdict(int) dict_col = defaultdict(int) for j in range(len(board[0])): value_row = board[i][j] value_col = board[j][i] if not value_row or value_col == 0: return False if value_row in dict_row: return False else: dict_row[value_row] += 1.
Complete the whole code a..
IN C++ PLEASE We list the r-combinations of {1, 2, . . . , n} in lexicographic order and represent an r-combination of {1, 2, . . . , n} by a sequence that contains the numbers of the r-combination in increasing order. We begin with {1, 2, . . . , r}, and the procedure for finding the next r-combination after {a1, a2, . . . , ar} is given by the following algorithm: 1. Find the last member ai of the sequence {a1, a2, . . . , ar} such that n − r + i 6= ai. Stop if ai does not exist. 2. Replace ai by ai + 1 . 3. For each j = i + 1, i + 2, . . . , r, replace aj by aj−1 + 1. 4. Go to step 1. EXAMPLE List the 3-combinations of {1, 2, 3, 4, 5} in lexicographic order. Analysis We begin with {1, 2, 3}. We are listing the 3-combinations, so a1 = 1, a2 = 2, and a3 = 3. Now n − r + 3 = 5, and 5 6= a3. Therefore we replace a3 with a3 + 1 = 4 and obtain {1, 2, 4} as the next 3-combination. We have a1 = 1, a2 = 2, and a3 = 4, so n − r + 3 = 5, and 5 6= a3. Therefore we replace a3 with a3 + 1 = 5…
1. Write a function that converts a phrase into pig Latin. A word is convertedto pig Latin by removing the first character of the word, placing it at theback of the word, and adding the characters “ay” to the word. For example,“hello world” in pig Latin is “ellohay orldway.” Your function can assumethat each word consists of at least two letters and that each word is separatedby one space, with no punctuation marks.2. Write a function that counts the occurrences of a word in a string. Thefunction should return an integer. Do not assume that just one space separates words and a string can contain punctuation. Write the function sothat it works with either a String argument or a StringBuilder object.3. Write a function that takes a number, such as 52, and returns the numberas a word, as in fifty-two.4. Write a subroutine that takes a simple sentence in noun-verb-object formand parses the sentence into its different parts. For example, the sentence“Mary walked the dog” is parsed into…
Let 1 represent true and 0 represent false. The function Conjunction(), whose incomplete code is given below, computes p∧q: def Conjunction(p,q):#FIX ME#return 1else:return 0 What should the line of code which contains the expression #FIX ME# be replaced with in order to complete the code? Question 3 options: if p != q: if p == 0 and q == 0: if p == q: if p == 1 and q == 1:
Using C (NOT C++,C#) I need help in coding this practice problem without the use of Strings and Arrays. The New Telephone Company has the following rate structure for long-distance calls:a) Any call started after 6:00 P.M. gets a 50% discount.b) Any call started after 8:00 A.M. is charged full price.c) All calls are subject to a 4% tax.d) The regular rate for a call is /P5.00 per minute.e) Any call longer than 60 minutes receives a 15% discount on its cost(after anyother discount is taken but before tax is added).
Please fill in the blanks for C, from 1 to 68. /*The program will get the information of each client and print it right back. We could get the information of all clients first, then print them all later for better readability using an array of struct.*/ #include<stdio.h> #include<stdbool.h> #define length 70 //assume there's no names longer than 70 /*It's good practice to add all function headers to the top of the program*/ __1__ __2__ getEmployeeInfo(); __3__ printEmployeeInfo(__4__ __5__ em); __6__ __7__ getClientInfo(__8__ i); __9__ printClientInfo(__10__ __11__ cli, __12__ i); /*Employee struct: all the arrays use the same constant size defined on top name-first, last-(string) title (string) number of clients (integer) number of years working at the company(can take decimal points). */ __13__ employee { __14__ first_name[__15__]; __16__ last_name[__17__]; __18__ title[__19__]; __20__ num_clients; __21__…
i).The results from the mayor's race have been reported by each precinct as follows:Candidate Candidate Candidate CandidatePrecinct A B C D1 192 48 206 372 147 90 312 213 186 12 121 38Write a program to do the following: i. Display the table with appropriate headings for the rows and columns.ii. Compute and display the total number of votes received by each candidate andthe percent of the total votes cast. ii). Write a program in C to make such a pattern like a pyramid with numbers increased by 1.12 34 5 67 8 9 10