A work team consists of 7 females and 5 males. Only three members of this team can be selected to have dinner with the CEO of the company. The selection is random (and obviously without replacement). How many possible groups of members consisting of one male and two females can be selected for this dinner?

Q: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that  Committee consists of  4 Men and 5 Women  Then we have to choose 3 members to be…

Q: Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10…

A: We have to use combination theory to find out the number of ways.

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: in a choir, there are 14 sopranos, 17 altos, and 6 basses. A group of 6 needs to be selected.…

A: Solution: From the given information, there are 14 sopranos, 17 altos and 6 basses. Here, a group of…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: An environmental agency is analyzing water samples from 79 lakes for pollution.  Five of the lakes…

A:

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A committee has 5 members. There are three members that curt serve As the board's chairman, ranking…

A: Given that,  Total members, n= 5 Positions r= 3

Q: Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

A: Ofthe 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

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 committee of 5 people will be selected at random from a group of 12 men and 15 women. How many…

A: we have to find no. Of ways..

Q: At an investment bank, 75% of the clients have at least 1m in their account.Futhermore suppose that…

A: Let us denote: A= event that the client has at least 1m in his/her account B= event that the client…

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…