A bag contains 2 white and 3 black balls. Four persons A, B, C and D in the order named each, draw one ball and do not

Q: Three Players were numbered as 1, 2, and 3. How many teams of two players can be formed? List down…

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Q: A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected to meet…

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible…

A: 2 letters can be selected from 5 letters in 5C2 ways.   nCr = n!/(n-r)! *r!

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: Determine the number of subsets of {14, 15, 16) O A. 3 В. 7 ОС. 8 O D. 6

A: To find  The number of subsets of a set {14, 15,16}

Q: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

Q: Let A={1,2,3,4,5} and B={6,7,8,9}. Find A∪B.

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Q: List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C(6, 3)?

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Q: W contains the best franchises of 2015 according to Entrepreneur. If W=W= {Hampton Hotels, Anytime…

A: Given,           W contains the best franchises of 2015 according to Entrepreneur.           W=…

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

A: Given : 6 students ( 4 males and 2 females) To make committees: 3 students ( 2 males and 1 female)…

Q: Let A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find A – B and B – A.

A: A-B = elements those are in A but not in B      ={1,3,5}

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: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

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Q: Ewa has 20 balls of four colors: yellow, green, blue and black. 17 of them are not green, 5 are…

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Q: The number of permutations of letters a, b, c, and d taken 3 at a time is Select one: 4 24 30…

A: Answer: 24

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: There are 13 apples in a basket. 4 of these Apples are green. The rest are red

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Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: 2 balls of different…

A: Given data, Number of red balls=6 Number of white balls=4 In how many ways can one draw 2 balls of…

Q: How many six-person volleyball teams be made from a group of ten men and three women if: a.There is…

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Q: 6. Find the » ted number of jazz records when 4 records are selected at random from a collection…

A: here as per guidelines i have calculated first main question  here given there are 5 jazz records ,…

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: If 2.P(5,3) =p(n,4),find n

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Q: a) The number of red balls in :the box before addition is

A: Total no: of balls=25 let x be the no: of red balls in the box and 25-x be the no: of blue balls…

Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

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Q: Let A = {0,2,4,6},B={1,2,3,4,5},and C ={1,3,5,7}find B \cup C

A: It is given that, A = {0,2,4,6}, B={1,2,3,4,5},and C ={1,3,5,7}.Note that, “the union of two sets A…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

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Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at…

A: No. of Freshmen = 5 No. of sophomore = 6 No. of juniors = 7 Total = 5+6+7 = 18

Q: 3. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be…

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Q: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

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Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

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: In a standard deck of cards, if the order in which cards are dealt his not important. How many hands…

A: There are total 52 cards in a deck And among those 52 cards, 12 cards are face cards.

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

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Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting…

A: Given that 3 cards are selected. That is, n=3 There are four cards one club, one diamond, one heart…

Q: You are forming a team of 4 from a set of 7  players. The order of the players in the team does not…

A: Given that there is a total of 7 players. We will select a group of 4 players.  Since it is a group,…

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

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Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: A man has eight shirts and three ties. Assuming that they all match, how many different…

A: Given that, Man has 8 shirts and 3 ties How many different combinations can he wear?

Q: Suppose A = {1,2,3,4,5,6} and B= {5,6,7,8,9} Then A\B=..?

A: We know that A\B = {x∈A and x∉B}

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}

Q: There are 12 teams in a league. In how many ways can the teams finish first, second, third, and…

A: A permutation is a mathematical tool that helps us to find the number of possible arrangements in 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: How many 5-card hands out of a 52-card deck are 3-of-a-kind? Three of a kind is a hand containing…

A: Given: Number of ranks (2 to A) = 13 Number of cards in each rank = 4

Q: If 5 cards were picked at random from a deck of 52 cards, find P(Exactly 2 are hearts)?

A: