5. In how many ways can five dogs and seven cats be ordered in a row? (For example, "dccdcdcddcce" is one such ordering.) 6. A coin is tossed fiftoon times

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: 2. A box contains 6 green, are selected at random from the box. a. How many ways can the four balls…

A: given data  6 green 5 yellow 4 blue 3 orange _______________ 18 total balls

Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: 28 A box contains 5 blue marbles, 3 green marbles, and 7 red marbles. How many marbles must be…

A:

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: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: 15. At a hospital, the dinner menu consists of 4 choices of entrée, 3 choices of salad, 6 choices of…

A: Given :          At a hospital, the dinner menu consists of 4 choices of entree, 3 choices of salad,…

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: 5. An event manager has ten patterns of chairs and eight patterns of tables. In how many Jwave can…

A:

Q: 2. Suppose you bought a lot from a shopping spree. You have 3 new shirts, 4 new jeans, 4 different…

A: The number of ways to select r number of different objects, from n number of different objects, can…

Q: 7. You and a friend of yours decide to go have ice cream. You see a special where you can get a…

A: A. Scoop1  has 3 choices, Scoop 2  has 4 choices and scoop 3 has 4 choices.

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: 7. Diane's Diner is running a special this month at the restaurant. You can order an appetizer, an…

A: Solution

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

A:

Q: 1. A box contain 4 red, 3 blue, and 2 white balls. In how many ways can we select 3 balls such that…

A: "Since you have asked multiple question, we will solve the first question to be solved to then…

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: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on…

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students…

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

A:

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: 9. pg 312 iPod shuffle Declan has 100 songs on his MP3 player. He is going for a run and has time to…

A:

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: It is given that, There are 4 tankers , 6 coal cars and 10  lumber cars.

Q: 40 Ponzi schemers are on the government's hit-list. In how many ways can the government name 3 of…

A: Solution-: There are 40 Ponzi schemers are on the government's hit-list. Top most 3 evil Ponzi…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: 16. How many different ways can 7 people choose a president, vice-president, and secretary for their…

A: The number of people is 7.