Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many different plate having exactly 4 options can you make if you want at least 2 different vegetarian options?

Q: A time traveler can take 3 books with him , and he has 68 books to chose from . How many different…

A: Solution

Q: A high school student needs 9 more classes to graduate.  If she has met the prerequisites for all…

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 10…

A: Consider that the 10 people includes Tony and Maria.

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

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: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

A:

Q: There are 20 male and 15 female students in a class. In how many ways can you choose a committee of…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

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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: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

Q: A club with 20 women and 17 men needs to form a committee of size six. How many committees are…

A:

Q: You can choose from seven science courses and five humanities courses. In how many ways can he…

A: Number of science course = 7 Number of Humanities course = 5 Total number of course = 7+5 = 12…

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

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: An equestrian club has seven members. If the club wants to select a president, vice president, and…

A:

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main…

A: From the provided information, Number of deserts with ice cream as a main ingredient = n (A) = 8…

Q: A restart offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entree,…

A: We have given that for dinner special the number of choices for appetizer 5, for entree 12 and for…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10…

A: In the question,Tony and Maria are trying to get on a committee of 3 people,Total number of eligible…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: There are 3 women and 8 men signed up to join a salsa dance class. In how many ways can the…

A: To solve the following problem

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9…

A: As per the question There are total 9 persons and a committee of 4 people are selected. In this…

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

Q: A medical student has to work in a hospital for five days in January.  However, he is not allowed to…

A: there are 31 days in January Out of 31 days , student has to work 5 days therefore the non working…

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 9…

A:

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

A:

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: A company has 12 male and 11 female employees. company needs to nominate 2 men and 2 women for the…

Q: You are going to create a portfolio consisting of 2 stocks. There are 6 available stocks to choose…

A: