1. In how many ways can 10 people line up for a bus ticket? Answer: There can be possible ways.

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: You are heading to the animal shelter to choose a pet. The shelter has the following pets available:…

A: Given Information: Number of Cats = 15 Number of Dogs = 24 Total number of pets available = 39…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

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

A:

Q: In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to…

A: If no two girls can sit together, then we need to alternate boy and girl. We can start with a boy…

Q: 6. The University of Montana ski team has 15 entrants in a men's downhill ski event. The coach would…

A: 6) The number of entrants in men’s downhill ski event is 15.

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: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

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: in how many ways can 7 volunteers be assigned to 7 booths for charity bazaar?  a. 10080 ways b.…

A: We have to find the no of ways

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

A:

Q: 2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran…

A: The given information:There are a total of 25 songs. All the truck drivers are in love. Three fourth…

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: Suppose you are asked to arrange 10 books in a shelf. Three of them are Mathematics, 4 are English…

A: Let us assume there are three women A, B and C sitting beside each other. The different ways in…

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

A:

Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

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.