In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like classical, 11 like both rock and country, 9 like rock and classical, 13 like country and classical, and 8 like rock, country, and classical. How many like country?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: A survey of 145 computer science students reveals that 80 own desktop computers, 95 own laptops, 30…

A: Assume number of students who has  desktop = d number of students who has laptops= l number of…

Q: In how many ways could a committee be formed that included 3 Conservatives, 3 Liberals, 2 NDP and 1…

A: Number of conservatives = 14 Number of Liberals = 23 Number of NDP = 8 Number of independent members…

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: A group of students were asked whether they like Mathematics, Physics, or both. If 456 like…

A: We want to find total number of students.

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

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

A:

Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: answer is in next step

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: and

A:

Q: In a survey of students about favorite sports, the results include 21 who like tennis, 31 who like…

A:

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

A:

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: A club consists of 10 men and 13 women. In how many ways can they choose a president, vice…

A: Question is solved.

Q: Assume that there are 105 students: 45 of which like rock, 52 of which like country, and 23 of which…

A:

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts

A:

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

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: 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 a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

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

A: Given: n = 9 r= 6

Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

A:

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: We want to find number of people that not like any of the three sports.

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak…

A: In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak…

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books

Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A:

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.