An employee at a store is going to display 9 scented candles in a row on a shelf. He will put one of the candles, Cinnamon Spice, in the first spot. He will put another of the candles, Rose Petal, in the second spot. In how many ways can he arrange the candles?

Q: In how many ways will Namjoon get a pair of polka dots?

A: here given, In Namjoon’s drawer, there are 7 identical pairs of purple socks that is 14 socks , 10…

Q: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

A:

Q: an eyewitness to a crime said that the license plate of the getaway car began with the letters Y,B,…

A:

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: It's all about COMBINATION. - A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how…

A:

Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do…

A: Solution

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

A:

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: An employee at a store is going to display 8 scented candles in a row on a shelf. He will put one of…

A: Given Information: There are total 8 type of scented candles.

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 4 identical…

A:

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: A theater charges P 360 for adult and P 150 for children for one advanced movie screening. If the…

A:

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: To find out the possible CD-R's

Q: Three married couples have bought 6 seats in a row for a concert. In how many ways can they be…

A: The number of arrangement in a row is n!.

Q: Sam is going to assemble a computer by himself. He has the choice of chips from two brands, a hard…

A:

Q: Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter…

A: Given information total number of students =20 Number of students in a group =4 Total number of…

Q: Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11…

A: We have given that - Pat has 9 flowerpots. In garden shop there are 11 types of flower available. We…

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

Q: Ashley is arranging 12 cans of food in a row on a shelf. She has 5 cans of beets, 1 can of olives,…

A: Obtain the distinct number of orders that the cans can be arranged if the two cans of the same food…

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: From a league of 20 players, we want tô chööse match. A goalkeeper, a captain and 9 players. In how…

A: Given Total number of players=20

Q: For this problem, assume that 13 exhibits entered the science fair, and that we want to assign 3…

A: The number of exhibits entered the science fair is 13. The number of prizes that are to be assigned…

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins.…

A:

Q: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

A:

Q: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They…

A: Consider the given statement. We have to arranged from oldest to youngest. We have find the number…

Q: How many blocks are needed to build an​ up-down-up staircase with 5 steps up and 5 steps​ down?

A: To solve the given problem

Q: John is arranging 11 cans of food in a row on a shelf. He has 5 cans of beans, 5 cans of olives, and…

A: Fundamental method of counting is used here.

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: A computer user has downloaded 15 songs using an online file sharing program and wants to create a…

A: Given data: Total songs  = 15  13 =  songs to use in his portable CD player  To find: How many…

Q: Find the number of ways to arrange the following 9 books on a shelf: 2 identical Math books, 4…

A: Given, total no of books = 9 Math books = 2 (Identical) Physics books = 4 (Different) Chemistry…

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: Francis wants to donate his 15 books to his three friends. If he gives 8 books to one of his friend…

A: given data   have 15 books 8 books to one friend 4 books to other friend and remaining to third…

Q: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

Q: Maxine has 3 English books, 4 Math books and 2 Science books.   if Maxine would like the books of…

A:

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

A:

Q: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: Mai is arranging 12 cans of food in a row on a shelf. She has 8 cans of beets, 3 cans of beans, and…

A: There are total 12 cans of food, among which 8 cans are beets, 3 cans are beans and 1 can is olives.

Q: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: A gamer asks his father to get 5 compact disks (CD) from his collection of 12 arcade and 7 sports…

A: Given There ata 12 arcade and 7 sports game

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

Q: Dustin bought 12 plants to arrange along the border of his garden. How many distinct arrangements…

A: GIVEN: Total plants = 12 Tulips = 3 Roses = 4 Daisies = 5

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.