A computer programming team has 13 members. Suppose seven team members are women and six are men. How many groups of seven can be ents chosen that contains 3 men and 4 women? O 740 O 700 ry O 1716 O 120

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: In a college basketball team, there are 4 freshmen, 6 sophomores, 5 juniors and 3 seniors. In how…

A: Given: Number of Freshmen = 4 Number of Sophomores = 6 Number of Juniors = 5 Number of Seniors = 3 A…

Q: A small social network contains four people who are network friends with six other people in the…

A: We have to find (a) How many people are network friends with three other people in the network.(b)…

Q: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

A: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

Q: Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.

A: We want to choose 3 letters and we have 4 letters A,B,C and D, we have to determine (a) How many…

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: In how many ways can a committee of five men and four women be formed from a group of six men and…

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

Q: In a group, 25 people like tea or coffee, of these 15 like tea and 6 like both coffee and tea. How…

A: ∗ formulanA∪B=nA+nB-nA∩BLet C denote the set of people who like coffeeand T denote the set of people…

Q: A small social network contains four people who are network friends with six other people in the…

A: (a) To find Number of people are network friends with three other people in the network. (b)To find…

Q: A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and Tristan is to select…

A: We have given that  A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and…

Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

A:

Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

A:

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 3 women and 7 men? O a.…

A: Combinations: The combination is a method of selecting all or part of a set of objects where the…

Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: A group of 6 people must be chosen from 6 men and 6 women. If there must be at least one person of…

A: Given: Number of men=6Number of women=6 The possible ways of selecting 6 people with at least one…

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

Q: In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?…

A: Solution: Given information: n= 12 Total number of people.  There are 3 groups each group has 4…

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: Suppose a group of twelve (12) people consists of five (5) men and seven (7) women. How many…

A:

Q: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

A: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: At a music​ festival, there are eight bands scheduled to​ play, numbered 1 through 8.   a. How many…

A: Given that ; Total bands (n) = 8 By using factorial concept we solve this problem

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: Given 1 box = 48 chocolate Groups of 11 to be put

Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

Q: A computer programming team has 13 members. Suppose seven team members are women and six are men.…

A: Solution: From the given information, the programming team has 13 members. Among them 7 are women…

Q: Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there…

A: In this question out of 7 sophomores we have to choose 2, Out of 8 juniors, we have to choose 3 and…

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: A small social network contains five people who are network friends with six other people in the…

A: (a) Let X be the people who are network friends with three other people in the network. We have, the…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75…

A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

Q: In how many ways can five pictures be selected from a group of nine different pictures?

A:

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

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 committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

A: nCr=n!r!(n-r)!