Amanda wants to host a party. She invites 3 friends and tells them to invite 3 of their friends. The 3 friends do invite three others and ask each to invite 3 more people. This invitation process goes on for 5 generations of invitations. Including herself, how many people can Amanda expect at her party?

Q: A lady has 4 dresses and she want to leave 2 of them behind and bring the rest with her on the trip.…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

A:

Q: At a dance, there are 20 girls and 20 boys. How many ways are there to form 20 pairs? How many if…

A: We have to use combinations to answer this problem.

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 2…

A: The objective of this question is to find out the number of ways to choose 2 jobs out of 4. This is…

Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

A:

Q: A workshop venue has 35 participants.Each participant shakes hands with each and every other…

A: There are total 35 participants present at the venue. So the 1st participant will shake hands with…

Q: Cardo has six different jackets. If he cannot wear the same jacket on tro consecutive days, how many…

A: If we have n objects that have to be assigned to r slots then the number of ways to do it will…

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: John got a new puppy for his birthday. He watched the puppy climb up a flight of 12 steps and…

A: Given: Number of steps required = 12 Steps which a dog can hop = 1 or 3 Number of ways to climb 12…

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Tom is leading a workshop for 20 people. He wants each person to meet every other person (shake…

A: Given: Number of persons = 20 Each person will meet only once.

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: tickets all in the same row to a KC Royals game for himself and his friends next week. How many…

A: Given: n = 8 The number of different ways can the friends be seated in the row is, 8! = 40320Number…

Q: We are at altitude and they have a dunk contest. 7 people participate. How many ways can those 7…

A: Given in the question that we have total 7 participants and we have to find in how many ways can…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: A lady has 4 dresses and she want to bring 2 of them with her on the trip. How many ways to choose 2…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: There are 57 runners in the race. How many ways can the runners finish first second and third.

A: given data, there are 57 runners in the race we have to find out the no. of ways can runners finish…

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.