(a) In how many ways can we select 4 people from a group of 10 people and award them first through fourth prizes? (b) In how many ways can we select a committee of 6 people from a group of 30 candidates? Leave your answer in terms of factorials.

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: A 4/49 lottery involves choosing 4 of the numbers from 1 through 49 and a 3/32 lottery involves…

A:

Q: 2 students is to be chosen from a 32-member class to represent the class on the student council. How…

A: Permutation: The procedures of permutation and combination are used to count the number of…

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: How would I solve the following problem: Of five letters (A, B, C, D, and E), two letters are to be…

A: Ans#- Given,           Five letters (A, B, C, D, and E), two letters              are to be selected…

Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: How do you find the least common multiple, and denominator for fractions 1/2, 1/4, 1/6, and 1/10. If…

A:

Q: There are six horses running in a race, one of which is named GameStop. At the end of the race the…

A: There are 6 horses running in a race, one of which is named GameStop. At the end of the race the…

Q: Ammar will give $350 in birthday gifts next year. He will give a combination of $50 and $15 gifts.…

A:

Q: Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q.You can choose 3 of these…

A: The number of ways in which 3 letters can be chosen from 4: Number of ways in which 3 letters can…

Q: Dean wants to display 12 photos and 18 drawings he owns in groups, with each group having the same…

A:

Q: Miguel is playing cards with his brother when he draws a card from a pack of 30 cards numbered from…

A:

Q: A group of 16 people is choosing a chairperson and vice- chairperson. They put all 16 people's names…

A: Introduction: It is required to calculate the total number of possible combinations of chair and…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A:

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: The placemats, plates and napkins are already set; you are given 4 forks, 4 knives, and 4 spoons to…

A: From the given information, there are 4 forks, 4 knives and 4 spoons to complete the job. That is,…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.