In how many ways can 3 men and 4 women be seated on a bench if the women are to be seated together?    720 220 1024 576

Q: There are eight sprinters in a final race. In how many ways can they place next if they all finish…

A: It is given that there is a total of 8 sprinters in a final race.  If all finish the race, then the…

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

A:

Q: In how many ways can 9 students be seat in a row of 9 chairs if Cameron insists on sitting in the…

A: Given: 9 Students are to be seated in a row of 9 chairs. Cameron insists on sitting in the first…

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: how many different computer passwords are possible if  (a) digits and letters can be repeated (b)…

A: How many different computer password are possible if:-a  digits  and letters can be repeated.b…

Q: A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of…

A:

Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: In how many ways can be 10 married couples sit around a table if a. There are no restrictions? b.…

A: Here we will use the concept of permutations to solve the problem

Q: In how many ways a 4 - person sales team can be formed from a group of 12 salesmen and 8 seals women…

A: Solution: From the given information, there are 12 salesman and 8 sales women. Total number of…

Q: how many ways can a committee of three men and four women can be formed from a group of nine men and…

A: Given data, No of men =9 No of women =6 In how many ways can a committee of three men and four…

Q: 1. Your professor has 10 advanced statistics texts and 8 advanced calculus texts. (a) How many ways…

A:

Q: In how many ways can 7 books be arranged on a shelf if (a) any arrangement is possible, (b) 3…

A: Introduction:  Arrangement: The number of possible arrangement of different objects in different…

Q: In how many ways can 6 copies of history books, 4 copies of accounting book, and 2 pieces of algebra…

A:

Q: n how many ways can 6 women and 3 men be seated in a row of 9 seats at a movie theatel assuming that…

A: Number of women = 6 number of men = 3

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

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A:

Q: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

Q: A tailor owner has 10 new pants that he wants to display in the window. If the display window has 4…

A: The number of new pants are 10.

Q: License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. a)…

A: We have to find out the no of possible  license plates using given conditions.

Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: In how many ways can 8 people be seated in a row if there are two women and these women should sit…

A: Total number of people = 8 Two women are seated in first and sixth place. Now, there are only 6…

Q: In how many ways can we arrange six letters of the word SWITZERLAND that starts with letter S? O…

A: Answer : - In how many ways can we arrange six letters of the word  SWITZERLAND  that starts with…

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

A:

Q: . Beth has 8 friends. How many ways can she invite one or more of them to dinner?

A:

Q: How many ways can a group of five boys and five girls be seated in a row of ten seats if boys and…

A: Here we have to find no. Of ways in the given problem.

Q: How many different 7-letter words can be made a. if the first letter must be C, X, or T and no…

A:

Q: In how many different ways can five friends sit for a photograph of five chairs in a row? * O 120 O…

A: To find the number of ways in which five friends can sit for a photograph in five chairs in a row.

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: Given: Number of graduate students = 7 We can interpret this question as how to split seven students…

Q: A student has 10 books to arrange on a shelf of a bookcase. In how many ways can the 10 books be…

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

Q: 5. Seven women and nine men are on the faculty in the mathematics department. How many ways are…

A: Given, 7 women and 9 man are in department Therefore, Total number of faculties are 16

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating…

A: Given that there are 8 people sitting in a row.The number of people, n=8.

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

A: We have to find total number to ways to park 10 car such that 4 black cars must not be together.

Q: uppercase letters. ​a) How many different license plates can there be in this state if repetition of…

A:

Q: In how many ways can a group of 10 people be seated around a table if 3 of them insist on sitting…

A: We have to find number of  ways can a group of 10 people be seated around a table if 3 of them…

Q: (a) How many different collections of 50 coins can be chosen if there are at least 50 of each kind…

A:

Q: In how many ways can 3 different novels, 4 different mathematics books, and 1 biology book be…

A: Arrangement of data can be understand using principle counting methods. It arrangement can be done…

Q: 12. How many ways can 3 jellybeans be chosen from a bag of 17 unique jellybeans *     360 120 136…

A: Given,Total no.of unique jellybeans=17

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: Given that the Senate committee consists of 7 Democrats and 7 Republicans. Thus, the total number of…

Q: In how many ways can 9 member of the family be seated in a round table with 7 chairs?

A:

Q: (a) In how many ways can 4 boys and 3 girls sit in a row. (6) In how many ways can they sit in a row…

A: Answer: For the given data,

Q: License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. ​a)…

A:

Q: 33. From a club of 15 people, in how many ways can a group of four members be selected to attend a​…

A: Total number of ways = Crn where n is the total and r is the selected people.

Q: In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do…

A: Introduction: There are 10 engineers and 4 doctors who seat at a round table.

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A:

Q: 7 (a) Seven men and five women need to sit down for dinner at a circular table. (1) In how many ways…

A: Given that, Seven men and five women need to sit down for dinner at a circular table. We need to…

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Three digit number is formed using digit…