A history class contains 8 male students and 6 female students. Find the number n of ways that the class can elect: (a) 1 class representative; (b) 2 class representatives, 1 male and 1 female; (c) 1 president and 1 vice president.

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

Q: f 10 friends are going to occupy 10 seats in shuttle on the way to the airport, how many different…

A: Given  n = 10  x =10  P[10,10] is:

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

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

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: How many ways can 7 people line up in a cafeteria line? How many ways can five people be chosen from…

A:

Q: In a class of 40 students, 26 like Math, 12 like physics, and 6 like both math and physics.…

A: Solution: From the given information, number of students in a class is 40. Number of students like…

Q: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

Q: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: There are six members on a student council. Three of these members will serve on a spring formal…

A: Permutation and combination are 2 methods in mathematics. These are deals with the number of…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: 10 people is choosing a chairperson and vice chairperson

A: Given that   A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: A pizzeria has 14 types of pizza. How many different ways are there to choose 18 pizzas with at…

A: The probability is nothing but the likelihood of the occurrence of the event. The probability of an…

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: The math club needs to send 4 representatives – 2 females and 2 males to a meeting. If there are 12…

A: GivenNo. of female math club members = 12No.of male math  club memebrs = 23no.of representatives  to…

Q: A law firm has ten male and ten female lawyers. A committee of five, two male lawyers and three…

A: Given: A law firm has ten male and ten female lawyers. A committee of five lawyers, in which two…

Q: Seven marching bands will be playing in the local Christmas parade. How many ways can the parade…

A: Given  marching bands number=7