2. Oliveros family will eat at Mcdollibee Antipolo. In how many ways can Mr. Oliveros arrange his wife and 7 children in a round dining table, if: i. all of them can choose their own chair? ii. Mr. and Mrs. Oliveros together with their youngest child will be sitting beside each other? ii. 4 siblings refuse to sit beside each other?

Q: 6. A club with 20 heterosexual couples (40 people) needs a committee of 4 people. Determine how many…

A:

Q: 5. Tuesday Pizza Hut made 50 pizzas. Of these pizzas, 30% were cheese, 40% were hamburger, and the…

A: Given that  Total number of pizzas =50 Cheese pizzas=30% Hamburger =40% Remaining are pepperoni

Q: . Eleven students are lined up to be seated. How many ways can 6 of them be seated in a row of 6…

A:

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: Identify whether the given hypothesis is null or alternative. If it is an alternative hypothesis,…

A: The training group scores will not be different from the control group scores

Q: Suppose a business owner has a choice of 5 locations in which to establish her business. She decides…

A: A business owner has choice of 5 locations for establishing her business. Hence, we have to find the…

Q: King Arthur has 8 members of the round table sat for today’s meeting. How many arrangements of where…

A: Here given that King Arthur has 8 members of the round table sat for today’s meeting.Then, the king…

Q: Annie goes to a sushi place to order dinner for all of his friends. Exhausted by the prospect of…

A: The Venn diagram is the diagrammatic representation of sets in the form of circles.  If there are…

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: 6. A committee of 4 must be chosen from 6 girls and 5 boys. In how many ways can this be done if the…

A:

Q: You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can…

A: As per our guidelines we are supposed to answer only three subparts kindly post the remaining…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: 1. Determine the number of different 3-people or 4-people committees that can be formed from the 8…

A:

Q: 6. The University of Montana ski team has 15 entrants in a men's downhill ski event. The coach would…

A: 6) The number of entrants in men’s downhill ski event is 15.

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: 4) You want to know if an octopus (octopi are very intelligent!) can tell the difference between…

A: To determine whether the octopus can tell the difference between circles and rectangles based on the…

Q: 5. An electronic company employed 6 sales representatives and 9 product designers this year in a…

A: We have to find given all no of ways...

Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

A: 6 peoples are there.

Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

A:

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A:

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: PIZZA Joelle has her choice of five pizza toppings: onions, sausage, mushrooms, pepperoni, and green…

A: Number of combinations in choosing r things out of n things = nCr  nCr = n!r!n-r!

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…

Q: 1. Nadya is taking her daughter to adopt a pet from the local animal shelter. They have 50 dogs and…

A: 1. Nadya is taking her daughter to adopt a pet from the local animal shelter. They have 50 dogs and…

Q: Six friends, Brennan, Chad, Heather, Rona, Tracy and Trevor, a theatre. The number of ways that they…

A: It is given that, Six friends, Brennan, Chad, Heather, Rona, Tracy, and Trevor are going to the…

Q: 2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran…

A: The given information:There are a total of 25 songs. All the truck drivers are in love. Three fourth…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and…

A: Permutations and Combinations are used to arrange different persons on different chairs Total chairs…

Q: 1. Suppose you work at a music store and have four CDs you wish to arrange from left to right on a…

A: For n different item, there are n! ways to arrange them,  Here we have four CDs we wish to arrange…

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.