In the above PROBLEM if there are 1000 families in a village, find the number of families that contain (i) 2 boys each At least one boy each (ii) (iii) All are boys (iv) No of boys.

Q: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…

A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.

Q: A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and…

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Q: If x men working x hours a day for x days produce x bird houses then how many bird houses will be…

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Q: You have 6 math books and 6 history books to put on a shelf with five slots. In how many ways can…

A: If a particular event can be done in n different ways and an other event can be done in m different…

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: The owner of a stereo store wants to advertise that he has many different sound How many different…

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Q: A restaurant wants to prepare meals for 4 customers. In the restaurant there are only 2 kinds of…

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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: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: You had a plentiful harvest of oranges and apples. You plan to pack fruit baskets for your friends.…

A: The six baskets are numbered 1, 2, 3, 4, 5, and 6. It is necessary to load each basket with the same…

Q: Out of 38 students in a class, 10 students like baseball, 20 students like football and 10 students…

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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: please explain step by step, each concept in detail

A: To solve this problem, we must determine the number of different committees of 4 students that can…

Q: Apolice department in a small city consists of 10 officers. If the department policy is to have 5 of…

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Q: If A =  (2   1) and  B = (3 )then BA =            (3   4)                (1)

A: Given A=2134 and B=31

Q: If B = 101 -2 2 2 -2 -2 -1 then det (B5) =

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Q: (b) A team of 5 people is to be formed from 4 men and 6 women. Find the number of possible teams if…

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Q: Please help me, i'm stumped.

A: our objective is to find the no. of ways

Q: In a class that has 25 students, suppose that 24 of them took their exam on a Monday and the average…

A: Refer to the solution

Q: How many different groups of 5 problems can be chosen from the 14 problems?

A: Given that  5 problem can be chosen from the 14 problems. we use combination formula.  n= 14 , r = 5…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: L. (4 - 5)}(4 + + 2x° + 3x + 4x + 5) 4+ 6x + 6x + 4x°) dx |

A: we have to evaluate:

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: can you show A + 2B = 5 and 4A + b = 6 to get A = 1 and B = 2 in case 2,

A: Let's solve.

Q: How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is…

A: Let b1,b2, and b3 are 3 boys Let p1,p2,p3 and p4 are four prizes. b1 can receive any of the 4…

Q: You are given a bag with 40 concert tickets, 5 for each of 8 different concerts. Assume five…

A: If there are n boxes and (n+1) pigeons then, one box out of n boxes will have two pigeons.

Q: At a university, a dean is going to select 4 volunteers to serve on a committee. There are 11…

A: At university, a dean is going to select 4 volunteers to serve the committee. For this there are 11…

Q: IF N{A} = 3 and N{B} = 5 what is the largest number possible for N{A⋂B}

A: N(A)=3N(B)=5

Q: Mary, three female friends, and her brother, Peter, attend the theater. In the theater, empty seats.…

A: There are a total of 5 people attending the theater.In the theater, there are 10 empty seats in a…

Q: AT LEAST one of each kind?

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Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Q: I have 10 teams playing one game in sets of two for a total of 5 games only.   I have oragnized an…

A: There are 5 home teams and 5 away teams. 5 games are played in 1 round.The opponent pairs are set as…

Q: You have 4 people that want to attend a conference. There is only room for 2 people. How many…

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Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…