A certain hospital has 415 patients; 76 have high blood pressure only, 123 have heart problems only, and 45 have both high blood pressure and heart problems How many patients have neither high blood pressure nor heart problems?

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: A survey of residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and…

A:

Q: A survey of 100 people found that 75 carried a cell phone, 12 carried a tablet computer, and 8…

A: Use union and intersection forumula for sets to solve.

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: From a list of 39 captains, 8 are to be promoted to major. In how many ways can this be done?

A: We need to find the value by combination rule

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five…

A: The number of all students, The number of students in chemistry only, The number of students in…

Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9   Total number of…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: The Parliament of the country of Koo has 176 members in all. Of them 52 belong to the Conservative…

A: We have, n=176= total number of members in parliament A= 52= the no. Of members belongs to…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: Federal Express driver must make ten deliveries to ten different addresses. In how many ways can she…

A: factorial of n items gives you the number of ways you can arrange the given items

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

A:

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: A group of 100 people touring Europe includes 38 people who speak spanish, 58 who speak portuguese,…

A:

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: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

A:

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: An interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32 are…

A: given: an interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32…

Q: A certain type of collectible toy comes in 13 different categories and there is an equal number of…

A: total number of toys 195the number of categories 13

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…

A: The total number of combinations possible if we select r things which are chosen at a time  from n…

Q: In a certain company 80 of the employees are men. What is the total number of employees if 5 out of…

A: given In a certain company 80 of the employees are men. To Determine the total number of employees…