There are 10 people at a meeting and there are 7 different door prizes to give out. How many ways can we select 7 people to receive the door prizes? Calculator > Next Question

Q: There are eight performers who will present their comedy acts this weekend at a comedy club. How…

A: Arranging n items is found by n! ways...

Q: it's election day for a club. if a President and vice president or elected how many different…

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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: A restaurant offers a $12 dinner special that has 5 choices for an appetizer, 13 choices for an…

A:

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

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Q: How many different ways can 2 letters from the word SELECT be arranged?   answer is 21 (b)…

A:

Q: (a) You have 35 favorite books and want to donate 4 to your local library. How many ways can you do…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A dozen donuts are selected from 5 varieties. One of the varieties is chocolate. How many ways are…

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Q: Your wardrobe consists of 2 shirts, 6 pairs of pants, and 14 bow ties. How many different outfits…

A: Solution :  Given that  The number of shirts = 2 The number of pair of pants = 6  The number of bow…

Q: There are four performers

A: number of performer = 4 so if n performer is their then number of arrangements are n! n! =…

Q: There are 294 students in the senior class. Four of the students will be chosen to be the President,…

A: Since there are separate posts, so in this problem arrangement will matter. So we will have to use…

Q: A blood bank needs 5 people to help with a blood drive. 17 people have volunteered. Find how many…

A: A blood bank needs 5 people to help with a blood drive. 17 people have volunteered.

Q: A restaurant offers a $12 dinner special that has 5 choices of appetizer, 10 choices for an entree…

A: Given data,  5 choices of appetizer 10 choices for an entree  3 choices for a dessert

Q: In Ms. Noime's math class there are 15 students out of which 4 will be selected to receive a special…

A: In question, Given that In Ms. Noime's math class there are 15 students out of which 4 will be…

Q: There are 6 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that there are 8 women and 6 men

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: There are 12 members who are part of the student senate group. How many ways can the teacher…

A: We have to find the no of ways  can the teacher supervisor choose three of them to attend a…

Q: Wayne’s Furniture Store has 50 different sofas, 30 different chairs, and 3 different coffee tables.…

A: Given data   50 sofas 30 chairs 3 coffe table   Buy one from each

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: Twelve students have volunteered to help clean up an oil spill. The project director needs 3 bird…

A: Twelve students have volunteered to help clean up a small oil spill. The project director needs 3…

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: From a class with 45 students, 9 students will be chosen to join the Math Fair. In how many ways can…

A:

Q: There are 15 children in soccer training squad. A team consist of 11 players. If two children can…

A: Given: 15 children To find: Solution

Q: A teacher gives a test with 17 questions. Students are allowed to choose any thirteen to answer. How…

A:

Q: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3…

A: Given

Q: A boy owns 6 pairs of pants, 3 shirts, 5 ties, and 2 jackets. How many different outfits can the boy…

A: The boy owns 12 pants, 3 shirts, 5 ties and 2 jackets. Now each outfit must consist of one of each…

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

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Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: There are 5 men and 7 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that : There are 5 men and  7 women auditioning to be in the school play.  Total cast  = 5+7 =…

Q: A box contains 7 different marbles. In how many ways can you select 5 marbles for you to play with…

A: A box contains 7 different marbles. in how many ways can you select 5 marbles for you to play with…

Q: There are 15 students waiting at the bus stop. If the bus can only fit 6 more students, how many…

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Q: There are 4 men and 7 women auditioning to be in the school play. Answer the following questions:…

A: The number of ways 2 women , and 2 man can be selected from 4 men and 7 women is,…

Q: b) A multiple choice exam has 10 questions each with 4 possible answers and 6 additional questions…

A: Solution:

Q: Your wardrobe consists of 5 shirts, 3 pairs of pants, and 17 bow ties. bow ties How many different…

A: According to multiplicative principle, if an event A can occur in m ways and each probability for A…

Q: The math club wants to choose a committee to plan the back to school party. How many 3 person…

A: Solution: Total members= 32 We want to find Number of possible leadership committees.

Q: There are 30 people competing in a race. The top 3 get a spot on the podium. How many different ways…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :…

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Q: The drama club has 25 members and needs to elect officer. They will need a president, Vice…

A: Given data÷

Q: A teenager is given 5 different jobs that they must do before they may go out to a movie with…

A:

Q: A blood bank needs 7 people to help with a blood drive. 13 people have volunteered. Find how many…

A: We have to find no. of different combinations possible.

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

A:

Q: There are six performers who will present their comedy acts this weekend at a comedy club. How many…

A: Topic:- permutation and combinations

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: An ice cream parlor has 31 different flavors. A super sundae allows a person to select 3 different…

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Q: a little league manager has 12 children on her team. How many ways can she form a 9- player batting…

A: Given that  Total player=12 Batting order player=9 Find the number of ways can she form a 9 player…

Q: Before leaving for the day, the delivery trucks are loaded with packages. How many ways can 120…

A: There are n unique/distinct packages that must be loaded into 10 trucks in such a way that there are…

Q: The cast of a school play requires 4 girls and 3 boys. They will be selected from 7 eligible girls…

A:

Q: If radio station call letters must begin with either K or W and must include either two or three…

A:

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.