In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

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: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: how many different ways can the five letters a,b,c,d & e be arranged?

A: Formula :

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

A: The total number of ways in which n different items can be arranged, is given by n! where n! can be…

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

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: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

A:

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: dog shelter giving away 19 different dogs, but you have room for only 4 of them. How many different…

A: Given data,No of different dogs n=19you have room for only 4 of them r=4How many different dog…

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

A:

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

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: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

A:

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: In how many ways can 7 people be seated on a sofa if it can only accommodate 5 people?

A:

Q: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

A:

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

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.