In how many ways can 7 different balls be distributed in 5 different boxes if any box can contain any number of balls, no box can be empty and ball 3 and ball 5 cannot be put in the same box?

Q: Suppose we divide a group of 100 drivers into three groups. In a given year, 40 of those people have…

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: An electric meter reader took a sample of six electric meter readings in an apartment building which…

A: Given the data, 7.7,8,7.8,8.3,8.3,8.1 We will find standard deviations Note, according to the…

Q: Choose the letter of the correct answer. A certain elementary school club has 50 members, 20 of…

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Q: Three hundred people go on a Caribbean cruise. When the ship stops at a port, each person has a…

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Q: How many ways can 6 boys stand in a line if a certain boy must come first?

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Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more…

A: Number of prizes =5 Number of students = 4

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find  how many stacks…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

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Q: Three laboratory technicians work in a quality control laboratory with five different pieces of…

A: From the provided information, There are three laboratory technicians work in a quality control…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: Divide. 4v3 + 2v- 5 v - 2 29 O 4v2 + 8v - 18 + v-2 31 4v2 + 8v + 18 + v-2 29 O 4v² + 8v + 18 + v-2…

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Q: Find a, b, c, and d, if а b 1 3 d 2.

A: A matrix is an object with certain number of rows and certain number of columns. An entry in a…

Q: A student has 15 video games: 4 adventure games, 4 arcade games, 2 puzzle games, and 5 sinmlation…

A: Given,no.of adventure games=4no.of arcade games=4no.of puzzle games=2no.of simulation games=5total…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: How many different ways can six different objects be arranged i

A: Factorial: n!=n*(n-1)*(n-2)*.....*2*1 Given that there are 6 different objects. That is, n=6

Q: A company is choosing their top four officers: CEO, COO, CFO, and CIO. If they have 7 people to…

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Q: A grocery store has six types of beans, five types of corn, and four types of peas. How many ways…

A: Giventypes of beans = 6types of corn = 5types of peas = 4Total number of ways of buying one type of…

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: in how many ways can 7 students be seated in 4 chairs a. 210 b. 840 c. 2401 d. 35

A: Given Information: To find out the number of ways 7 students can be seated in 4 chairs.

Q: In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at…

A: To get hold of the 56th ball it's important to get hold of the 52nd ball and so on. This is the key…

Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

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Q: In how many ways can we select 7 books out of 9 and arrange them on a bookshelf? a. 181,440 b. 72 c.…

A: we have to find In how many ways can we select 7 books out of 9 and arrange them on a bookshelf.

Q: How many ways can two adjacent squares be selected from an 8- by- 8checker board if we allow the…

A: first select a 2x2 square. this can be done in 7x7 = 49 ways.in each 2x2 square, one can select two…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: How many possible combinations of letters can a person have in their three-letter initials if no…

A: Given a person have three letter initials and no letter repeats.Total number of letters = 26.The…

Q: A marching band formation consists of8 rows. The first row has 5 musicians, the second has 7. the…

A: In Arithmetic Progression  Nth term is a1+(n-1)d

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: There are 10 boys and 6 girls. How many ways are there of forming a group that consists of either 3…

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Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

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Q: How many ways are there to distribute A x Bx C blue balls to 4 people Muslum, Orhan, Ferdi, and…

A: Total number of balls = AxBxC The balls are to be distributed to 4 people. Ferdi and Bergen get no…

Q: In how many ways can you arrange 3 different english books, 4 different mathematics books and 3…

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Q: A die is rolled six times and the order of the rolls is considered. In how many ways can three 2's,…

A: Given : A die is rolled six times and order is considered