A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made? Select one: O a. 1260 O b. 210 O c. 10C6*6! O d. 10C5*6

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8…

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different…

Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: 3 -))) Calculate the number of combinations to choose from 5 cards randomly selected from 10 cards…

A: Given Data: 5 out of 10 and  7 out of 8

Q: How many different 5-card hands selected from an ordinary deck of 52 playing cards contain: (a) 3…

A:

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: in a qualifying race for a road cycling event, 15 men competed for five slots.How many different…

A: Given The total number of men (competed)=15 The number of slots=5 Apply permutation formula…

Q: In a lottery game, a player picks 9 numbers from 1 to 49. How many different choices does the player…

A: In a lottery game, a player picks 9 numbers from 1 to 49. That is, the total numbers is 49 and…

Q: Out of a group of eight students serving on the Student Government Association, how many different…

A:

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: Mr. Ballantine selects 4 National Merit Scholars to attend a Town Council meeting. If there are a…

A: We have 10 scholars in Total We have to select only 4

Q: From a deck of 52 cards, the 9 selected were of three suits. They were; 2 heart, 4 spade and 3 club.…

A: Solution :Givena) 2 heart , 4 spade , 3 club         Total number of ways of arrangement…

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: What is the total number of outcomes in: Picking a number from 1 to 20 and a letter from the…

A:

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Number of total student is 6 (4 male and 2 female) Number of member for committee is 3 (2 male and 1…

Q: Out of the 12 people applying for a scholarship, a) how many ways can we select a group of five to…

A: N : number of students = 12 a) To select 5 people. = (12),(11),(10),(9),(8)  are the choices for…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It is given that the total number of software packages is 10and the number of free software packages…

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: In a group of 6 married couples, 4 people are selected at random. In how many different ways that…

A: Given, n = In a group total 6 married couples means total 12 peoples. x = Select 4 people at random

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

A:

Q: How many 5-card poker hands selected from an ordinary 52-card deck contain four cards of the same…

A: A standard deck of cards contains 52 cards, of which 26 are red, and 26 are black, 13 of which are:…

Q: A college golf team consists of four players who are ranked from 1 through 4. If a golf coach has…

A: Given that a college golf team consists of four players who are ranked from 1 through 4.

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: If a new car buyer has the choice of 4 bod styles, 3 engines, 10 colors, with or withou air…

A: Given Information: A new car buyer has the choice of 4 body styles, 3 engines, 10 colours, with or…

Q: The number of ways a team of 2 players can be chosen out of 9 players is 81 36 90 6. O 72

A:

Q: Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b)…

A:

Q: How many ways can you select which nine players will be in the batting order on a 12- person team?

A: Given: total number of players are 12 To be find: ways of selection of nine players in batting order…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: NAMENT Bobbi needs to select six badminton players to represent the school at a tournament. She can…

A: Given data: The numbers of badminton players required are r=6. The total numbers of people are n=8.…

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: Needing assistance with the equation in attached image.  W5.2

A: Here, there are 12 candidates. The possible choices are given below: There are 12 choices for the…

Q: A college survey was taken to determine where students study. Of 140 students s cafeteria, 76…

A:

Q: From a standard 52-card deck, how many 9-card hands consist of 5 diamonds and 4 clubs? ​

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: How many different 10 card hands can be selected from an ordinary deck? a. 6,471,002 b.…

A: Total number of cards = 52

Q: LA six-person committee composed of Alex, Ben, Connie, Dan, Ellen, and Frank is to select a…

A: Dan: 3 ways (Don is either a chairperson, Secretary, and treasure.) first remaining position: 4 ways…

Q: there are eight girls competing in a ice skating competition.in how many ways can they finish in…

A: Given there are eight girls competing in a ice skating competition

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It has been given that there are 8 different software packages. Thus, n = 8 A customer purchasing a…

Q: In how many ways can a committee of 4 people be chosen out of 8 people? O a. 126 O b. 720 O c. 1680…

A: Number of people n=8Number of people to be selected (r)=4Number of ways=?

Q: The 2015 Ford Mustang Fastback is available in 5 models (V6, GT, etc.) with 10 choices of color, 2…

A: Given that, Number of available models= 5 Number of available colors= 10 choice of transmission = 2…

Q: How many ways can you pick five students for the student council when there are twelve people…

A: The mathematical formulation which can be used to determine the total number of ways in which r…

Q: In a company, you need to pick from your employees to be the manager, the supervisor, the…

A:

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…