a licensure examinations, an examinee may select 7 problems from a set of 10 questions. In how many ways can he make his choice

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

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

A:

Q: One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. How many…

A: Professor chooses 5  out of 12 homework problems To find : number of groups of 5 problems can be…

Q: How many ways are there to pick three dipping sauces, if you can pick three of the same?

A:

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: In a mathematics examination, a student may select 7 problems from a set of 10 problems. In how may…

A: In a mathematics examination, a student may select 7 problems from a set of 10 problems

Q: Of 10 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

A:

Q: A lottery has one $100 prize, two $25 prizes and five $10 prizes. What should you be willing to pay…

A:

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A: We have to find the number of ways that can an adviser choose 4 students from a class of 12 if they…

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

A:

Q: A quiz consists of 6 multiple choice questions where each question has four choices. In how many…

A: Each question has 4 choices hence the answer can be chosen in 4 ways out of the given 4 options.…

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

A:

Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: Find the number of different ways that an instructor can choose 4 students from a class of 26…

A: In this case, n = 26 and r = 4.

Q: Find the number of different ways that an instructor can choose 4 students from a class of 23…

A: Given: Number of students = 23 Number of students to be chosen = 4

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: A president, vice president, and 2 at-large members are selected for a school council from 7 people.…

A: It is given that 4 persons (a president, vice president, 2 at-large members) are selected for a…

Q: The number of ways a team of 2 players can be chosen out of 6 players is

A: Our Aim is to tell the number of ways a team of 2 players can be chosenout of 6 players is ____

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

Q: The number of ways can select a cricket team of 11 players out of 14 players is_

A:

Q: The library is to be given 3 books as a gift. The books will be selected from a list of 17 titles.…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: If a club consist of 15 members, how many different ways are there for the club to fill the…

A: The number of members is 15. The number of position is 3.

Q: A quiz consists of 6 multiple choice questions where each question has four choices. In how many…

A: If there are n different items and each item have m choices, then the number of permutations is…

Q: An examination paper consists of 12 questions divided into parts A and B. Part A contains 7…

A: Given Information: Total number of questions = 12  Questions in Part A = 7  Questions in Part B = 5

Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

A:

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

A:

Q: How many different committees of 3 men and 4 women can be formed from 8 men and 6 women? solve by…

A:

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

A:

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: If a student is to answer any six problems on a test consisting of nine problems, in how many…

A: Here the student is free to answer any 6 questions out of 9 problems.  So, we take the combination.

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: As a television executive, you have been given 19 shows to choose from to run during your prime time…

A:

Q: Solve by the method of your choice: How many different ways can a director select 4 actors from a…

A: Given that : The number of actors in the group = 20

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

A:

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: In SSC examination, a student may select 8 questions from a set of 12 questions. In how many ways…

A:

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.