In how many ways can 12 people be divided into 2 equal groups? (Assume that the two groups are an equal size but distinct. For example, one group will take a class in the morning and the other will take the class in the afternoon.)

Q: Suppose we divide a group of 100 drivers into three groups. In a given year, 40 of those people have…

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Assume that the camper has 6 jackets, 3 sleeping bags, and 13 different packages of food. An outfit…

A: It is given that the number of jackets is 6, the number of sleeping bags is 3 and the number of…

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: A group of 7 friends line up for a picture. Two of the friends are named Bert and Gert. How many…

A:

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: Assume that the camper has 5 jackets, 5 sleeping bags, and 12 different packages of food. An outfit…

A: Given that the camper has 5 jackets, 5 sleeping bags and 12 different packages of food. An outfit…

Q: Romano's Restaurant has the menu shown in the figure below. In how many ways can a meal consisting…

A: Given Information: The menu shows that there are 6 toppings for the pizza, 6 beverages, and 5…

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: A group of 18 people have gotten together to play baseball. They will divide themselves into two…

A:

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

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: At an awards ceremony, ten women and eight men are each to receive an award and are to be presented…

A: Women=10Men=8Total=18

Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

A:

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: Assume that the camper has 4 jackets, 4 sleeping bags, and 11 different packages of food. An outfit…

A: Given information- We have given that the camper has 4 jackets, 4 sleeping bags, and 11 different…

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

A:

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: Twelve people need to be photographed, but there are only five chairs. (the rest of the people will…

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Q: On a business retreat, your company of 28 executives go golfing. a. You need to divide up into…

A: Solution:   The total number of distinct ways of arranging the letters of the word of length N…

Q: Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a…

A: