Students were divided into 8 teams with 9 on each team. Later the same day students were divided into teams with 12 on each team. How many teams were there? ... There were teams.

Q: In a survey, students were askedabout their favorite subjects. The results as follows: 132 students…

A: Let M, S and E represent the set of students who like Math, Science and English, respectively.…

Q: Ms. Teller surveyed the 38 students in her class about their families. 28 students have a brother or…

A: solution of the given problem is below...

Q: In how many different ways can five teaching assistants be assigned to five sections of a course in…

A: It is given that 5 teaching assistants have to be assigned for 5 sections of a statistics course.…

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window…

A: A dress-shop owner has 8 new dresses.  She wants to display in a window which has 5 mannequins.  So…

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

A:

Q: If a girl has 6 skirts, 10 blouses, and 8 pairs of shoes, how many different skirt-blouse-shoe…

A: We need to find the number of total outfits in given situation.

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: A survey was done on a college campus to determine how many students owned a cell phone. Of the 140…

A: Given information: It is given that the total number of students surveyed is 140. Calculation: The…

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: In a school with 92 students, 47 live with their biological father and 68 like with their biological…

A: Let S= total students  F= who lives with biological father M=who lives with biological mother Given…

Q: d) How many ways to invite 10 out of 20 friends to be part of a group chat?

A:

Q: 3. The 2410 women undergraduates at the college comprise 54% of all undergraduates. How many…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: Out of 32 students in a class 5 said they ride their bike to school. Based on these results how many…

A: Unitary method : It is a method by  first determine the value of single unit and then determine the…

Q: In a group of dogs and their owners, there are exactly 20 heads and 64 legs.  How many dogs are in…

A: Let, x be No of men. y be no of dogs   Men consists of 2 legs and dog has 4 legs.   x+y=20 2x+4y=64

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: How many ways can 12 people line up if Joey and Sally must be next to each other?

A: here given group of 12 people arrange in raw   and arrange around round table

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: How many ways are there to arrange the letters in COMPANIES? (a) with vowels in alphabetical order?…

A: a) There are total number of ways to arrange letters in alphabetical order is 9!. Here four vowels…

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

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

Q: How many ways 4 people out of 20 can be sited on a bench for 4 persons?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: How many students were included in the collection?

A:

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: How many blocks are needed to build an​ up-down-up staircase with 5 steps up and 5 steps​ down?

A: To solve the given problem

Q: Given group of 6 computer engineer, 7 mechanical engineer and 8 civil engineer a. How many teams of…

A:

Q: Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b)…

A:

Q: \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

Q: How many ways can you select which nine players will be in the batting order on a 12- person team?

A: Total number of players = 12 Number of players to be selected =9

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: how many ways can three items be selected from a group of six items? use the letters A, b,C, D, E,…

A: The given information is that the sample size is 3 and population size is 6.Here, order does not…

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: In a class of 25 students, 17 lived with both parents, 21 lived with their mothers, and 20 lived…

A: Here we have to solve the following problems using Polya's problem-solving steps.

Q: How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a…

A:

Q: If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75…

A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

Q: If a family has seven children, in how many ways could the parents have three boys and four girls?

A: Since there are 7 children. To find the number of ways such that parents have three boys and four…

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: Aaron had 7 tims as many sheep as Beth, and both together had 608. Howmany sheep had each?

A: Let number of sheep Beth had = x Number of sheep Aaron had = 7x

Q: In a birthday party, each person shakes hand with every other person. If there was a total of 36…

A:

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: In how many ways can 11 people be seated in a round table with 8 seats?

A:

Q: in a mall survey, 200 consumers were asked where they did their gift shopping; Macy’s, JC Penny’s,…

A: Total consumer = 200 consumers Total number of people who shopped at least at two different stores =…

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A: