11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

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: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

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: 12. From 6 biologist and 7 chemists, a committee of 3 biologists and 3 chemists is to be formed. How…

A:

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…

A:

Q: Six people attend the theater together and sit in a row with exactly six seats. Suppose the group…

A: Given,no.of men =3no.of women=3total no.of people=6

Q: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…

A: We have given thatSeat of 12 people Number of men = 6Number of women = 6

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

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: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: If a team of four players must be made from eight boys and six girls, how many teams can be made if…

A: 1. There are eight boys and six girls, totally there are 14 players. A team of four player. The…

Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

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: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

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: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

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: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

A:

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…