A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: The 25 staff members of an office decide to hold a Kris Kringle to celebrate the holidays and draw…

A: Given Information: There are 25 staff members out of which 4 staff members draw their own names.

Q: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

A:

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: In how many ways can a committee men be formed from 8 people?

A: GIvenNo.of people(n) = 8

Q: In how many ways can 5 letters be posted in 4 post - boxes?

A: We have 5 letters with us and 4 post-boxes.  Now, any letter can be put in any post-box.

Q: How many different letter arrangements can be made from the letters in the word of…

A: Given word is COMMUNICATION"c" is repeated 2 times"m" is repeated 2 times"N" is repeated 2 times"I"…

Q: In how many ways can six books be lined up along a shelf?

A:

Q: A museum wishes to display six paintings next to one another on a wall. In how many ways may this be…

A: in this  question you  can take the highest number which in this case is 6 and multiply by the…

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: A college math department consisting of 10 faculty members must choose a department head, an…

A: Given, n=10 And we need to choose 3 faculty members from 10, here the order of 3 faculty member…

Q: Five of ten books are arranged on a shelf. In how Many waYS Can this be done?

A:

Q: In how many ways can 7 beads can be arranged to form a necklace?

A: We have to arrange 7 beads in a circle so that we can form a necklace. Now we fix one bead and the…

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: In how many ways can 7 people be seated on a sofa if it can only accommodate 5 people?

A:

Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 1 to 3 letters if:

A: here given there are total 24 greek alpha bet now name can be made using 1 to 3 letters

Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: 10 officials were asked to sit in a round table. In How many ways can they be seated?

A: given  10 officials were asked to sit in a round table

Q: From a list of 34 captains, 6 are to be promoted to major. In how many ways can this be done?

A: To write that in how many ways it can be done

Q: One company’s ID cards consist of 5 letters followed by 2 digits. How many cards can be made if…

A: Consider that there are 26 letters, while the company’s id card consists of 5 letters followed by 2…

Q: A pizza shop offers 15 toppings. How many different 3-topping pizzas can be formed?

A: Total number of toppings are 15.

Q: The math club has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: If 10 people come from different places and shake hands in how many different way could this be done

A: The formula for the number of handshakes possible with n people is          handshakes = n*(n -…

Q: 17. How many anklets can be formed by stringing 10 beads of different colors all together?

A: Required: To find the number of anklets can be formed by stringing 10 beads of different colors all…

Q: In How many possible ways can you arrange 5 kilos of rambutan, 2 kilos of lanzones, 4 kilos of…

A: Given data is : How many possible ways can you arrange 5 kilos of Rambutan, 2 kilos of Lanzones, 4…

Q: Suppose that a bake shop Has four different kinds of cookies. How many different ways can six…

A: We are choosing 6 cookies, i.e r = 6 and  we need 4 different kinds of cookies, i.e n= 4

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

A:

Q: In how many ways can this be done if the three adults are seated together and the five children are…

A: Given Information: There are 3 adults and 5 children. They are to be seated randomly in a row. Three…

Q: 2. How many 4 letter arrangements can be made from the letters MILKE D?

A: Explained below

Q: O From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: If the cube had only been rolled 50 times, how many times would you expect a shm GREATER than 9 to…

A: From the table, we see that the sum of greater than 9 rolled (11+4+3)=18 times. In the table total…

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: How many ways can 10 candles be arranged on a shelf?

A:

Q: Two 6-sided number cubes, each numbered 1 to 6, are rolled 360 times. Each time the sum of number…

A: For a 6 sided die the number of outcomes=6For two dice the number of outcomes=6×6=36We can get sum…

Q: Assume that a bakery has 7 different types of cakes. How many different ways can 5 cakes of any type…

A: We have total 7 cakes  From the 7 cakes, we have to pick a group of 5 cakes. So the arrangement does…

Q: How many ways can 9 different Geometry books be stacked on a shelf?

A: The given question is a multiple question, so as per the rule, we are doing only first question:…

Q: From a list of 50 captains, 4 are to be promoted to major. In how many ways can this be done? ways

A: It is provided that 4, r are to be promoted to major from a list of 50, n captains. As the order…

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

Q: How many 3-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: We have given that a four letter word MATH from which we can made 3 letter words in two different…

Q: An ice cream store sells 4 drinks, in 3 sizes, and 7 flavors. In how many ways can a customer order…

A:

Q: In how many ways can 4 AIRFORCE and 5 ARMIES be seated on a bench if the ARMIES must  be seated…

A:

Q: In how many ways can 12 books be divided among 4 students so that each student receive three books?

A: Given that : Total books (n) = 12 Divided among 4 student and each student get books = 12/ 4  = 3 So…

Q: if 8 different colored beads are made into a necklace, how many necklaces can be produced having…

A:

Q: In how many ways can 11 people be seated in a round table with 8 seats?

A:

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

Q: A museum wishes to display five paintings next to one another on a wall. In how many ways may this…

A: The question is based on permutations. Number of ways r things can be arranged in n spots are: nPr =…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.

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.