There are four roads between Aurora Hill to Pacdal, and 6 roads between Pacdal to Bakakeng. Find the number of ways to go from Aurora Hill to Bakakeng and back to Aurora Hill without using a road more than once?

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: At a university, a dean is going to select 8 volunteers to serve on a committee. There are 9…

A: Given,no.of volunteers from the school of humanities=9no.of volunteers from school of art and…

Q: Fritz plans to fence off a square feed lot and then cross-fence to divide into four smaller feed…

A: Assume a be the length of the sides of the squaregiven fritz uses 696 feet fence

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: You bought 3 boxes of regular pizza, which are sliced into 8 pieces each, for your basketball team.…

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Q: Peter, who is 62 years old, is two times older than his son, Steve. Steve is two years older than…

A: let age of mary be x, lat age of steve be y given age of peter is 62

Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A: Given to us that; 7 roads from Silang to Dasma 5 roads from Dasma to Imus 4 roads from Imus to…

Q: When you start your new job, you will be assigned an Employee Identification Number. If this number…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

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Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: a university, a dean is going to select 8 volunteers to serve on a committee. There are 9 volunteers…

A:

Q: A small farm in Laguna has a total of 54 pigs and chickens. The total number of legs among them is…

A: Given: Given that the small farm in Laguna has a total of 54 pigs and chickens. The total number of…

Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

A: I have appended the formula used in the solution part of the question

Q: 3 of his stickers 10 Rudi, Sam and Ted had 162 stickers altogether. Rudi gave of his stickers to…

A: Given Information - Total number of stickers Rudi, Sam and Ted had = 162 Rudi gave 310 stickers to…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: The passers of a certain school for ECE board exams is 3/7 for math and 5/7 for communications. If…

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Q: An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she…

A: Let's falafel wrap is x, turkey BLT is y and hot ham and swiss is z.

Q: If Chad has 14 stickers and half of those are silver. Sarah has 29 more stickers but 5 fewer silver…

A: Provided that person C has 14 stickers, in which 7 are silver. Another person S has 29 more than…

Q: 50% of the students in a school were boys. 20% of the boys and 2/3 as many girls as boys took part…

A: As 50% are boys in the school so left 50% is girls which imply number of boys and number of girls…

Q: Ernie had 9 more top -10 finishes than Phil. Vijay had 13 more top-10 finishes than Phil.

A: We denote top-10 finishes of players Vi, Er, and Ph by x, y, and z respectively. Now we have…

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: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

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Q: Within the first 4 months of the year, Vicky was able to serve the following number of burgers: 370,…

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Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: A football club has 15Players. Find the possible number of team with 11Players which can be formed…

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Q: In a recent international sport​ competition, the top three countrieslong dash Country ​A, Country​…

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Q: The freshman class of 175 students went on a field trip. For transportation, they needed both vans…

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Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: A 12 ft board is to be cut into three​ pieces, two​ equal-length ones and the third 9 in. shorter…

A: 1 ft = 12 inches   Let “x” be the length of two equal parts and the third is 9 inches shorter then…

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Given: There are 33 Democratic senators and 67 Republican senators. Find the number of ways in which…

Q: This year, The Springtown Times had 7,152 subscribers. That is 20% more than they had last year,…

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Q: In the UTAS-Ibri with 1000 students, 310 students are taking a course in Mathematics, 498 are taking…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: When you get to college you will be assigned a new Student Identification Number. If this number is…

A: Given, Student Identification Number has number is 9 digits long followed by 2 letters . We have to…

Q: The Science Club has 20 male and 18 female members. How many different ways can one male and one…

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Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A:

Q: A, B, C, and D are going to ride in A’s car to go to the mall. But only A and C know how to do drive…

A: Given, The number of individuals is 4 The individuals are A, B, C and D. The number of front seats…

Q: An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she…

A:

Q: Lauren is 3 less than twice Andrew's age. 4 years from now, Sam will be 2 more than twice Andrew's…

A: topic - linear equations

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A: The questions ask to answer how many ways one can go from the Silang to Bacoor

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

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Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

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Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress…

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds…