A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Q: A market researcher's claim is that women spend more time each day on Facebook than men.  If p1…

A: Here let p1 denote the proportion of women and p2 denote the proportion of men. The claim is that…

Q: A pollster wants to minimize the effect the order of the questions has on a​ person's response to a…

A: The objective of this question is to find out the number of different ways the 5 questions on the…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: Listed in the table below are the selling prices, number of bedrooms, number of full baths, and…

A: From the information, given that Let Y denotes the sale priceLet X1 denotes the number of…

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: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: At the .05 significant level, the reseacher wants to test wheater people are likely to offer a…

A: Let the first sample is students in group one how much they would offer to pay a friend for a fairly…

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

A:

Q: Kathryn plants two different types of tomato plant. She records the number of tomatoes that she…

A: Plant A: 4,6,7,3,5,2,1,3,6,5 Plant B: 5,6,7,6,8,9,6,7,7,9

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: Draw a vent Diagram representing this situation.

A: Given that Number of students who like soccer = 15 Number of students who like basketball = 10…

Q: There are 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

Q: You have four hours of free time today. You want to spend each hour doing something different. You…

A: Solution: From the given information, four hours to choose from seven hours.

Q: You are going to a benefit dinner, and need to decide before the dinner what you want for salad,…

A: The objective of this question is to find out the total number of different meals that can be made…

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: You are in a class of 10 students. Three students will be picked to be on a committee. A student…

A: Total number of students in a class = 10 number of students picked to be on a committee = 3 A…

Q: Andrew a sales representative of Data Network Company (DNC) must visit 6 towns within the coast…

A:

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

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

A:

Q: The Wycoffs are planning their next family night. They always have dinner out somewhere and then do…

A: The answer is attached below,

Q: Suppose you’re thinking of attending Columbia, Hunter, or NYU. To decide, you want to visit all…

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

A:

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 child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

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.