umber of words of 3 consonants and 2 vowels can be made from 7 consonants and 4 vowels, if all the letters are different is

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse traps.…

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Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

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: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

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Q: James owns 8 different mathematics books and 6 different computer science books and wish to fill 5…

A: Here , Order is not important . Hence use combination to find arrangement of books in a shelf .  n =…

Q: A college freshman must take a science course, a computer science course, and a mathematics course.…

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Q: In the first 11 games of the Edmonton Oilers hockey season the team won 8 games and lost 3 games.…

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Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

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Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. If the right…

A: Maximum seating capacity = 48 Number of right seats of the bus = 23 Number of left seats of the bus…

Q: When you start your new job, you will be assigned an Employee Identification Number. If this number…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

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Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

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Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many…

A:

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

A:

Q: The number of words of 3 consonants and 2 vowels can be made from 6 consonants and 4 vowels, if all…

A: Number of ways of selecting (3 consonants out of 6) and (2 vowels out of 4)           = (C36 x…

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: Jake found four consecutive odd integers such that 5 times the sum of the first and third is 22…

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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: A group of 5 women and 5 men must select a three-person committee. How many committees are possible…

A:

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: On Monday, tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 traps. On…

A: Let 'x' be the number of traps Tom does 'y' be the number of traps Sylvester does 'z' be the number…

Q: There were more than 24 glasses, but less than 100 glasses. If the glasses were in rows of 6, there…

A:

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: This is the semester that you will take your required psychology and social science Because you…

A: The number of sections of psychology that are available to choose is 10. One section can be chosen…

Q: Mr.Dela Cruz needs to select a team of 9 for his basketball team.There are a total of 20 available…

A: It is given that, there are a total of 20 available players and Mr Dela Cruz needs to select a team…

Q: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: The number of words of 3 consonants and 2 vowels can be made from 6 consonants and 4 vowels, if all…

A: The number of ways to select r objects from n distinct objects is given by the combination rule…

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: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: When you get to college you will be assigned a new Student Identification Number. If this number is…

A: Given, Student Identification Number has number is 9 digits long followed by 2 letters . We have to…

Q: How many even three digits numbers can be found from the digits 3,2,5,6 and 9 if each digits can be…

A: Given, s={3,2,5,6,9}

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: A, B, C, and D are going to ride in A’s car to go to the mall. But only A and C know how to do drive…

A: Given, The number of individuals is 4 The individuals are A, B, C and D. The number of front seats…

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: Lauren is 3 less than twice Andrew's age. 4 years from now, Sam will be 2 more than twice Andrew's…

A: topic - linear equations

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: A father and his son can dig a well if the father works 6 hours and his son works 12 hours or they…

A: Answer is 20 hours.

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 math course has two midterms and a final exam. Midterm 1 is worth 18% of the final grade, midterm…

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: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A:

Q: There are four roads between Aurora Hill to Pacdal, and 6 roads between Pacdal to Bakakeng. Find the…

A: Given: Number of roads between Aurora and Pacdal is, n(A)=4. Number of roads between Pacdal and…

Q: A committee of 3 men and 2 women can be formed from a group of 10 men and 9 women in nothing…

A: Given a committee of 3 men and 2 women can be formed from a group of 10 men and 9 women.

Q: license plate is to consist of 2 letters followed by 3 digits. Determine the number of different…

A: Given that, a license plate consist of 2 letters followed by 3 digits. Determine the number of…