Finite Math   You have 7 math books and 7 history books to put on a shelf with five slots. In how many ways can you put the books on the shelf if the first two slots are to be filled with the books of one subject and the next three slots are to be filled with the books of the other subject?

Q: Four married couples have bought 8 seats in a row for a concert.  In how many ways can they be…

A: If each couple sits together, we can think of each couple as 1 unit. So there are 4 units to be…

Q: Lyra is shopping in a large department store with many floors. She enters the store at the middle…

A: Main entrance is on 1st floor. From TV department, Lyra goes down 10 floors to the main entrance…

Q: License plates consists of three letters followed by three numbers. How many different license…

A: License plates consists three letters followed by 3 number. No repetitions are allowed. a. If no…

Q: There are 11 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: You have 14 presents to give to your 3 kids. How many ways can this be done if: a. The presents are…

A:

Q: The city government of Imus is forming medical teams with 5 personnel from 30 volunteers. How many…

A:

Q: Honey’s Store has a number of bikes and tricycles for sale. There are exactly 60 wheels all…

A: Let x be the number of bicycles and y be the number of tricycles. Each bicycle has 2 wheels…

Q: Twenty batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and 9-volt.…

A: Given,  20 batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and…

Q: Z100 gave away a Z $100 bill for every 100th caller. Every 30th caller received free concert…

A: Z100 gave away a Z $100 bill for every 100th caller. Every 30th caller received free concert…

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: a) The ice creaM shop offers 4 flavors. You order a double-scoop cone. In how Many different ways…

A:

Q: I bought 3 bags of marbles. My friend bought 1 bag and he also had 24 loose         marbles. We…

A: Let 1 bag consists of ‘x’ no. of marbles. So, 3 bags contain ‘3x’ no. of marbles.

Q: In the fifth grade at Lenape Elementary School, there are 4/7 as many girls as there are boys. There…

A: The provided information is The ratio of girls and boys is=4:7 Let (x)=4x,7x Boys=66 Then, value of…

Q: David washed all 24 windows in his house. He washed 6 windows each morning and 2 windows each…

A: Given that David washed all 24 windows in his house. He washed 6 windows each morning and 2 windows…

Q: city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more…

A: Correct Question: the city water tank holds 20 gallons of water. A technician empties 25% of the…

Q: 3.) DJ: A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song is…

A: from the given find ( a)(b) and (c)

Q: For a fishing trip Maria is going to choose Lures to put in her tackle box. She has five lures that…

A:

Q: Shirley and Ben are going souvenir hunting. They come across a store that sells all sorts of…

A: (i) The objective is to find the number of ways to assign 75 key chains in 6 bags. That is, 75 key…

Q: 6. Ino Til wants to go countryside. The schedule for that day is 33 jeepney trips or 22 UV services…

A: Hey there! You have posted multiple questions. As per our policy we can answer only 1 ques at a…

Q: All students in the 6th grade either purchased theirlunch or brought their lunch from home on…

A: Solution: The objective is to find how many students are in the 6th grade

Q: The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds to switch…

A: Given - The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds…

Q: You have 50 cookies in a bowl. There are 2 kinds of cookies, chocolate chip and oatmeal. There are…

A:

Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…

A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…

Q: t has room for only 5 of them. In how many ways can they be chosen?

A: Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how many…

Q: Your friend wants you to be the photographer at his wedding ceremony. During the photoshoot session,…

A:

Q: remy's bedroom has two doors leading into the hallway. His house has four doors leading to the…

A: Here Jeremy's bedroom has two doors leading into the hallway. His house has four doors leading to…

Q: Julian is arranging 162 chairs for a concert. He places the chairs in rows, with the same number of…

A: Given that, there is a total of 162 chairs. The chairs are being placed in rows, with the same…

Q: A bag contains 9 apples & 7 oranges. If you select 8 pieces of fruit without looking, how many ways…

A: If I pick exactly 7 apples , then I also pick exactly (8-7)=1 orange.  I can pick 7 apples from 9…

Q: 9. There are four seats in a cinema hall. In how many ways can 4 people sit in a cinema hall if only…

A:

Q: A theater has 27 rows of seats the first row has 24 seats the second row has 26 seats the third row…

A:

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…

Q: You have 8DVDs to place on a shelf , but you only have room of 6 of them. How many different ways…

A: You have 8DVDs to place on a shelf , but you only have room of 6 of them. How many different ways…

Q: 9 books in a row on his bookshelf. He will put one of the books, Hamlet, in the first spot. He will…

A: Given Data: Total books: n=9 First spot: One book, Hamlet Last spot:  One book Macbeth   In the…

Q: A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to…

A:

Q: Two cards are drawn from a deck. Number of times the first card is six and the second card is red in…

A: Given that  number of times the first card is six and second card is red

Q: Ben has some apples. 9 are red apples. 7 are yellow apples. He gives all the yellow apples to Andy.…

A: Given number of red apples = 9 number of yellow apple = 7 Ben gives all the yellow apple to Andy Now…

Q: A grocery store has 6 checkout counters and 9 clerks. How many different ways can the 9 clerks be…

A: We have to find number  of different ways 9 clerks be assigned to 6 counters.

Q: From a group of 10 men and 12 women. How many committees of 5 men and 6 women can be formed?

A:

Q: am has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: A group of 7 boys and 3 girls is to be photographed. ​(a) How many ways can they be arranged in one​…

A: Given that a group has 7 boys and 3 girls.

Q: arrives, the group decides that 4 people should get into the taxi. In how many ways can that be…

A:

Q: man has n=10 distinct types of candy. He wants to give five pieces to his daughter and five pieces…

A: concept: First he need to select 5 candy out of 10 candy and give boys or girl after that he need to…

Q: How many ways can you prepare this cupcake?

A: HERE GIVEN You are decorating a chocolate cupcake to give to your friend, and you can choose from…

Q: almonds, cashews, hazelnuts, and peanuts. Amir can choose a few scoops of nuts and repeat the same…

A:

Q: An algebra class has 9 students and 9 desks. For the sake of variety, students change the seating…

A: The number of seating combination is 9!=362880 Each day the arrangement is changed thus all the…

Q: how many ways does he have to pack 8 shirts given these two restrictions?

A: here use counting principle

Q: In the classroom of Mr. Morales, the desks are organized in equal rows. mary sits in the desk that…

A:

Q: In a garden there are 50 flowers. Some have 5 petals, and some have 8 petals. In all, there are 319…

A:

Q: An algebra class has 12 students and 12 desks. For the sake of variety, students change the seating…

A: