The Science Club needs to elect president, a vice president, a secretary, and a tresurer. There are 30 members and each of them is eligible for any of these four positions. How many ways can any 4 members be elected for these positions? a. 210 b. 657, 720 c. 504 d. 48 e. 24

Q: Committee: The Student Council at a certain school has seven members. Four members will form an…

A: Given,Total no.of members=7

Q: Three laboratory technicians work in a quality control laboratory with five different pieces of…

A: From the provided information, There are three laboratory technicians work in a quality control…

Q: A company is choosing their top four officers: CEO, COO, CFO, and CIO. If they have 7 people to…

A:

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

A:

Q: A grocery store has six types of beans, five types of corn, and four types of peas. How many ways…

A: Giventypes of beans = 6types of corn = 5types of peas = 4Total number of ways of buying one type of…

Q: How many ways can a President, Treasury, and Publicist be chosen from 9 individuals? a. 27 b. 9 с. 3…

A: There are 9 individuals; 3 of them can be chosen as President, Treasury and Publicist.

Q: Answer this question correctly, please and thank you! Mrs. Reid is going on a trip. She has 9 books…

A: Given that Mrs. Reid is going on a trip and she has 9 books that she hasn't read yet, but she wants…

Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

A:

Q: The Student Council at a certain school has 11 members. Out of those members, a committee consisting…

A: Given information: The student council at a certain school has 11 members. From the 11 members, a…

Q: 1. Martha has 4 different colored pens in her bag. After she uses a pen she just throws it back into…

A:

Q: A school needs to buy new notebook and desktop computers for its computer lab. The computers cost…

A:

Q: Politics. If 10,200 people voted for a politician in his first election, 12,987 voted for him in his…

A: event :  A:voted for politician in first election B:voted for politician in second election n(A) =…

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: Thirteen people work in an office. If eight of them are to be chosen to serve on a hiring committee,…

A: Ans - Given, n = 13 people work in an office. If r = 8 of them are to be chosen to serve on a hiring…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: There are 10 boys and 6 girls. How many ways are there of forming a group that consists of either 3…

A:

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Q: Mom and dad have four daughters, and each daughter has one brother. How many people are in the…

A:

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

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.