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 front and back respectively?

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 TV station is going to air a movie marathon with   8 movies. It will consist of   2 science…

A: Given, The total number of movies is 8. The total number of science fiction movies is 2. The total…

Q: Out of 31 students, 17 have at least one brother and 12 have at least one sister. 5 students have…

A: Introduction: Define the following events: B: A student has at least one brother; S: A student has…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

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 different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: You have 19 pieces of candy to distribute to 7 people. How many ways are there to distribute the…

A: Total number of pieces of candy is 19. Total number of person is 7.

Q: A tv station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction…

A: Given that  A tv station is going to air a movie marathon with 7 movies. It will consist of 5…

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 tv station is going to air a movie marathon with 9 movies. It will consist of 5 science fiction…

A: Given there are total 9 movies.

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! The track…

Q: There are 4 boys and 6 girls that are going to be seated in a row. Let’s say a boy is sandwiched…

A: No. of girls = 6. No. of boys = 4.  There are all total (6+4) = 10 people sitting in the row.  Now,…

Q: A movie theater has 180 seats. How many rows of seats does it have if the first row has 12 seats and…

A: Given,         A movie theater has 180 seats. The first row has 12 seats and each succeeding…

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 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: 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: There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected?…

A: Given: Number of women = 7 Number of men = 5 Total number of people = 7+5 = 12

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

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: If the present boys are 8 and there are 29 girls

A: Given :  present boys are 8 and there are 29 girls   Total number of boys = 8 Total number of girls…

Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

A:

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: One gamer who plays Breath of the Wild has 7 different swords. How many ways can 2 swords be chosen…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Suppose that the vote on a recent gun control bill in the US Senate had the following results. Votes…

A: From the information, given that

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 9…

A:

Q: f a shelf contains 4 rows of 13 stacks of 10 boxes of product, how many boxes of product are on the…

A: We can find the number of boxes of product as below.

Q: How many ways are there to form a group for a work session of 4 people?  How many ways are there to…

A: Here Given  A certain writing club has 4 authors and 5 poets. Total No of people = 4+ 5 = 9