Consider a bracelet that is made up of 12 different charms. In how many ways a designer can design the bracelet if it has a clasp?
Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…
A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number…
Q: In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2…
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Q: How many permutations can be made from the word PILIPINAS?
A: The given word is PILIPINAS.
Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?
A: No.of diamond cards in deck = 13
Q: How many distinct arrangements of the letters in the word “footballers” are possible?
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Q: from a group of 21 people, how many different ways an a committee consisting of a president,…
A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…
Q: If a person can select five books from a list of ten, how many different combinations are there?
A: Given data: The total numbers of books are n=10. The number of books selected is r=5. The expression…
Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?
A: The combination formula is given by
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?
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Q: In how manyways can 7 honorable people be seated in a round table?
A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…
Q: In how many ways can a hand of 9 diamonds be chosen from an ordinary deck?
A: There are total 13 diamonds in a pack of 52 cards9 diamonds be chosen in 13C9 ways.Required…
Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…
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Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?
A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…
Q: In how many ways can eight different DVDs be arranged on a shelf?
A: We need to arrange 8 DVDs
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: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and…
A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and…
Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…
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Q: A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?
A: given that 8 beads of necklace we can find this by using
Q: Five of ten books are arranged on a shelf. In how Many waYS Can this be done?
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Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…
A: Let, N be the number of different available plansFirst operation (choice of home design) can be…
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 a different plan for area codes, the first digit could be any number from 0 through 3 the…
A: Given Data: The first digit could be any number from 0 through 3 and the second digit was either 3…
Q: The employees of a company are given a 4-digit identification number. How many different numbers are…
A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10
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: In how many different ways can ten books be arranged on a shelf?
A: Given that there are ten books available to arrange them in shelf.
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: A state makes license plates with two letters followed by four numbers. if no repetitions of the…
A: The license plates must consist of two letters followed by four numbers.
Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…
A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…
Q: A pizza shop offers 15 toppings. How many different 3-topping pizzas can be formed?
A: Total number of toppings are 15.
Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?
A: Please find attachment for the details solution
Q: The Mathematics Department of the University of 6 the Louisville consists of 8 profess professors,…
A: From the given information, there are 8 professors, 6 associate professors and 13 assistant…
Q: Six players are to be selected from an 11-player baseball team to visit schools to support a summer…
A: No. Of total students = 11 No. Of player to select = 6.
Q: Suppose a club has 22 members. How many ways can they form a 5-person committee?
A: Given: A club has 22 members. We need to form a 5 person committee. We need to find how many ways…
Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…
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Q: Consider a necklace that is made up of 8 different gems stone such that ruby is always between…
A: As per our guidelines we can answer only one question. please repost other seperately. 7.
Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…
A: Given, a state's License plate consist of 4 letters followed by 5 digits.
Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…
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Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?
A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…
Q: In how many ways can 8 people be seated in 8 adjacent seats in a theater?
A: In how many ways can 8 people be seated in 8 adjacent seats in a theater?
Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…
A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…
Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…
A: Total number of restaurants is = 8 She has to pick 3 restaurants. Here the arrangement does not…
Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…
A: The total number of combinations possible if we select r things which are chosen at a time from n…
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: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…
A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…
Q: how many committes of seven with a given chairperson can be selected from 13 persons?
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Q: A club with 25 members is to select five officers (president, vice president, secretary, treasurer,…
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Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…
A: Given: Number of digits = 6 No digits is used more than once.
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.
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