2. A box contains 6 green, are selected at random from the box. a. How many ways can the four balls be selected? b. How many ways can the four balls be selected if one is green, two are blue and one is yellow?

Q: A bag contains 3 red marbles, three green ones, 1 lavender one, two yellows, and 4 orange marbles.…

A: We have to find number of possible sets of three marbles using given data Formula required:  Number…

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: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…

A:

Q: ains 5 red,4 white and 3 blue balls .3 balls are drawn at random. find out the number of ways of…

A: The box contains 5 red , 4 white and 3 blue balls.  It is given that 3 balls are drawn at random…

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: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Solution-: This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: 2. P =

A: 2) Permutations: A permutation is a mathematical technique which is defined as the number of…

Q: There is a 6-on-6 dodgeball game (12 total players). After the game, each player shakes hands with…

A: Given that there is a 6-on-6 dodgeball game , total 12 players. After the game, each player shakes…

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: C4

A:

Q: 2) A bag contains four red tiles, three blue tiles, 9 green tiles and three white tiles. How many…

A:

Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

A: 6 peoples are there.

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: Assume that a gambler playing keno has randomly chosen 4 numbers. In how many ways can the gambler…

A: Approach to solving the question:A popular gambling game called keno, first introduced in China over…

Q: 4.22. Suppose that two teams play a series of games that ends when one of them has won i games.…

A:

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

Q: There are 10 candidates for a job. a. How many ways can we pick 2 of the candidates for the same…

A:

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange…

A:

Q: Trevor has 6 books on his summer reading list. He wants to choose 3 books to pack them in his…

A:

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Q: Calculate the number of different three cards patterns that a player can play. Calculate the…

A: Here, The number of red cards players have is 3The number of black cards players have is 3 a) The…