Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during March break. His travel agent offers four flights from Toronto to Warsaw Poland and then three flights from Warsaw to Helsinki. How many different ways can he travel from Toronto to Helsinki?

Q: Bilal wants to go to Islamabad. He can choose from 33 bus services or 22 train services to head from…

A:

Q: In the recent PIIE webinar attended by 100 people, there are 30 Filipino women and 23 Filipino men.…

A:

Q: There are 40 pieces of candy in Josh's bag. If - of the 8 candy are bags of M & M's, how many bags…

A: Given there are 40 pieces of candy in Josh's bag. 18 of the candy are bags of M & M's. We have…

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces. How many different…

A: Given data A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: What is the probability that a gacha now drawn from the second gift bag is a Naruto gacha?

A: Let us define some events A : Pokemon gacha is placed in second gift bag. B : Naruto gacha is placed…

Q: Ana , Maria , Pedro and Sonia will fill out 2 positions. How many ways can there be?

A: Ans#-  Ana , Maria , Pedro and Sonia will fill out 2 positions.            Find the number of ways…

Q: There

A: Please refer to the image below

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

Q: leah and andi are purchasing photo albums of their wedding pictures as thank you gifts for their…

A: Given data, No of album sizes=3 No of Cover options=5 Types of pages=2 No of possible unique photo…

Q: The telephone prefix for a university is 408. The prefix is followed by four digits.…

A: Given There are 10 options for each of the 4 spots,

Q: pianist plans to play 4 pieces at a recital from her repertoire of 26 pieces. How many different…

A: given data, A pianist plans to play 4 pieces at a recital from her repertoire of 26 pieceswe have to…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

A: Permutation formula: nPr = n!/(n-r)!

Q: My daughter loves to do art projects for her friends and family with the many art supplies she has.…

A: My daughter loves to do art projects for her friends and family with the many art supplies. Suppose…

Q: ot want the stickers and

A:

Q: Jack Frosty is preparing himself for another potential snowstorm by setting out all of his warmest…

A: given  2 pairs of boots 3 winter hats 3 pairs of gloves 4 jackets He has 2C1*3C1*3C1*4C1 outfit…

Q: Bailey receives 82 pieces of candy while trick-or-treating on Halloween. She plans to eat four…

A:

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: joining a music club. As part of her 4-CD introductory package, she can choose from 12 rock…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

A:

Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

Q: A California license plate has 1​ digit followed by 3​ letters followed by 3​ more digits. How many…

A: No.of digits from 0 to 9=10No.of letters from A to Z=26

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

A: We can solve this

Q: ianist plans to play 6 pieces at a recital from her repertoire of 26 pieces.  How many different…

A: Total number of pieces available (n) = 26 pieces. Number of pieces (r) which a pianist needs to play…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: Three-fourths of Mrs. Hoffman's fifth-grade students are boys. To make the number of boys and girls…

A: Let the number of students in Hoffman's class be x Number of boys = (3/4)x Number of girls = (1/4)x…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: You have a small wardrobe since you moved to Sac State. You only brought with you 10 shirts, 4 pairs…

A: Given : 10 shirts 4 pairs of pants 3 pairs of shoes An outfit contains 1 shirt, a pair of pant and 1…

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.