nd her brother has 8 visitors. In how many ways can they be seated including Clara and her brother in a circular table?

Q: In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels…

A: Given Word is: CORPORATION Number of vowels in the word is: OOAIO So we will treat these vowels a…

Q: Find 10th term of the A.P. 1, 4, 7, 10

A: Consider the given terms of the A.P. 1 , 4 , 7 , 10 The first terms of the A.P. is, a=1 The common…

Q: between hash marks 1.6 and 1.7, and it is closer to 1.7.

A:

Q: 7p The simplified product of 5m³n3 and p5 where m + 0, n # 0 and 10m4n p + 0, can be represented by…

A: We have to simplified the product.

Q: 19. What is the value of (pk) when p is prime and k is a positive integer?

A: We know that the value of the Euler ϕ-function at the positive integer n is defined to be the number…

Q: On Saturday 78% of the breakfast customers at marks restaurant ordered orange juice. If 33 customers…

A:

Q: In a deck of cards, there are 52 total cards. Out of these cards, there are 13 diamonds and 4 jacks.…

A: Given Data: The total number of cards is: n=52 The number of diamonds is: d=13 The number of jacks…

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

A:

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of…

A: Solution

Q: (a) In how many ways can we select 4 people from a group of 10 people and award them first through…

A: a) Since we want to give them awards by ranking, so here arrangement matters. We will have to use…

Q: Find n term of the A.P 13, 8, 3, -2 |

A: Given : The given AP is 13, 8, 3, -2

Q: Find n term of the A.P 13, 8, 3, -2

A:

Q: In how many ways can you seat three students and two teachers in the arrow of four chairs?

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: In how many ways can 9 students be arranged in a row if 3 particular students must always be grouped…

A: Given that  9 students are arranged in a row. 3 Particular students are always be grouped together.…

Q: 15. Arun wants to send invitation letter to his 7 friends. In how many ways can he send the…

A: There are 7 friends and 4 servants.We can see that each of 4 servantscan invite each of 7 friends,…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many diff ways can…

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: 1) a. A mobile phone shop has 7 colors of iPad, 8 colors of HCT mobile phones and four colors of…

A:

Q: There are 6 adult drivers to each teenage driver in a city. If there are 14,976 adult drivers in the…

A: We have to solve the problem as per instructions given in the question.

Q: What is the 4th term in the n = 8 row of Pascal's Triangle?

A:

Q: 2. Write a solution for each situation presented using permutation notation No need to write the…

A: Given :            There are 5 students selected for the first chair.          Then, there are 4…

Q: A famous football team plays 60% of games at night and 40% during the day. The team wins 50% of the…

A: I have solved both the questions.

Q: If the product of two integers is 2'3*5?7!" and their great- est common divisor is 2°345, what is…

A:

Q: In how many different ways can the letters of the word "LEADING" be arranged in such a way that the…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: 5. Lisa invites 5 friends over to her house on very short notice so they may not all be able to come…

A: The combination is a technique to determine the number of probable arrangements from a set of…

Q: Q1: a) As a fundraiser, a local GAA club runs a lotto-type draw in which 4 numbers are drawn from…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: (a) 7 kinds want to trade hockey cards. Each kid brings a different card to school and gives it to…

A:

Q: You wanted to dress up yourself using the clothes you bought online. Inside your closet you have 3…

A: Given that, Inside your closet you have 3 new shirts (long-sleeved, polo, and v-neck)and 5 new pants…

Q: Q10) In a grand prix race with 6 cars, how many different possibilities are there for the order of…

A:

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: In Marissa's calculus course, attendance counts for 20% of the grade, quizzes count for 20% of the…

A: Solution: From the given information, attendance counts for 20% of the grade, quizzes count for 20%…

Q: In a local neighborhood, 45% of the houses have garages, 60% of the houses have a patio, and 30%…

A: From the provided information, P (Garage) = 0.45 P (Patio) = 0.60 P (Garage and Patio) = 0.30

Q: Suppose you have 45 books (10 history books, 25 novels and 10 math books). Assume that all 45 books…

A: Concept: Combination: The method of combination is used to decide the wide variety of approaches to…

Q: How many ways can you arrange OCONTO  if N and T aren't side-by-side?

A: Here given, Word  OCONTO   There are total 6 letters and 3 times O repeated

Q: Find :18th term of the A.P. 2, 3/2, 5/2.

A:

Q: Explain why it is convenient to write the expression for the number of possible permutations in…

A: It is efficient and time saving, imagine if you want to write 4! in its entire multiplication form…

Q: Suppose that 56 % of students play football, 53 % of students play cricket, and 12 % of students…

A: Let F=students play footballC=students play cricketGiven,P(F)=0.56P(C)=0.53P(F¯∩C¯)=0.12

Q: 2.) The Catonsville Community Place House is a small Black Box Theater. There are 2 chairs in the…

A: To find: The number of chairs in row 4 if the same pattern is followed. Given information: The…

Q: Find the number of positive divisors, the sum of the positive divisors and ∅ of the following…

A:

Q: a) In how many ways can the letters in the word SUCCESS be arranged? b) In how many ways can the…

A: no of ways of arrange of  "n" letters = n! No of ways of arrangement of 'n' letters in which 1 item…

Q: 26. In how many ways can: a. five people be seated in a row? b. eight people line up for…

A: Given that  In how many ways can:   a. five people be seated in a row?   b. eight people line up for…

Q: . How many four-digit numbers are there with different digits and simultaneously: (a) divisible by…

A: Given: Total number of digits = 10 (0 to 9) Number of digits in a number = 4

Q: 4. Calvin arranges 26 chairs aroknd some tables. When he finishes, he has 1 chair left over. Which…

A:

Q: Find the number of 13-card hands drawn from a 52-card deck that are void in exactly one suit.…

A: Solution :-

Q: (a) At a glance, determine the digit d so that 64,275,67d is divisible by 4. Is there more than one…

A:

Q: In a game of Texas Hold’em 2 cards are dealt to each player face down. 5 more cards are then played…

A: From a pack of 52 cards total 12 is chosen in C1252 ways to be distributed to the players and then 5…

Q: contestants, in how many ways can the organizer arrange the first three singers? * 132 990 1320 1716…

A:

Q: Determine the "n" and "p" in the following problems and write them in Combination notation. a)Abag…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.