There are 15 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth​?

Q: How many ways can the letters of the word PROMISE be arranged so that the vowels always come…

A: Given word is PROMISENumber of vowels in word PROMISE…

Q: In how many ways can 9 students be seat in a row of 9 chairs if Cameron insists on sitting in the…

A: Given: 9 Students are to be seated in a row of 9 chairs. Cameron insists on sitting in the first…

Q: from an island-town with 2000 people. He goes to the mainland with a friend and there they catch a…

A: Given, Lau came from an island town with 2000 people. He goes to the mainland with a friend and…

Q: In how many ways can 3 men and 4 women be seated on a bench if the women are to be seated together?…

A: If 4 woman seated on a bench together then the first woman can seat on the bench in the first,…

Q: 5 (a). How many 5-digit zip codes are possible if digits can be repeated? 5 (b). If digits cannot be…

A: Permutation: Permutation is an arrangement of items in a specified order. In permutation, both the…

Q: Two hundred college students were recently asked if they participated in music or sports. 127…

A: Solution

Q: 52. a. There are 100 members of the U.S. Senate. Suppose that 4 senators currently serve on a…

A: a. There are 100 members of U.S. Senate. Suppose that 4 Senators currently serve on a committee.…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: Evaluate P( 16, 3 ) O 4116 O 3360 O 48 O 13 A special plate number is made up of 2 letters of the…

A: As per our guidelines we are suppose to answer only one question. We know that P(n,r)=n!n-r!

Q: 38. There are 10 math teachers in the math department. How many ways can one or more of them be…

A: Given: There are 10 math teachers. To find the number of possible ways can one or more of them be…

Q: From a class of 30 students, a teacher wishes to select a class preside esidents, secretary and…

A: a)Given data,No of students n=30Teacher wish to select1 president2 Vice-president1 secretary1…

Q: In how many ways can we arrange seven letters of the word SWITZERLAND that starts with letter S and…

A:

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

Q: The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place…

A: The first prize can be given in 56 ways Second prize in 55 ways Third prize in 54 ways

Q: 33. Class Executive In how many ways can a president, vice president, and secretary be chosen from a…

A: Given: Total number of students in a class =30

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. a)…

A: We have to find out the no of possible  license plates using given conditions.

Q: In how many ways can 5 man draw water from 5 taps if no tap can be used more than once? * O 720 О…

A: Introduction: There are 5 men, who draw water from 5 available taps.

Q: In how many ways can 8 students be seated in a row if one particular student must always be placed…

A:

Q: In a senior class at Rancho Coati High School, there were 25 football players and 16 basketball…

A: Use a Venn-diagram to explain the problem.

Q: ple in a meeting. In how many ways can you arrange your participants (including you) around a…

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

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: In how many ways can we arrange six letters of the word SWITZERLAND that starts with letter S? O…

A: Answer : - In how many ways can we arrange six letters of the word  SWITZERLAND  that starts with…

Q: Six performers are to present their comedy acts on a weekend evening at a comedy club. One of the…

A: We can pick the last position in 1 way only.  When the last position is fixed then we can select the…

Q: From a club of 23 people , in how many ways can a group of four members be selected to attend a…

A:

Q: Provide an appropriate response. A club elects a president, vice-president, and secretary-treasurer.…

A:

Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

Q: 3. In how many ways can the letters in "HOUSE" be arranged if а. there are no restrictions? b. the…

A:

Q: . Beth has 8 friends. How many ways can she invite one or more of them to dinner?

A:

Q: Using the digits 1, 2, 3, and 4, allowing for repetition:…

A:

Q: In how many ways can we arrange the letters in the word T

A: Given word is "TOOTH". The letters are T, O, O, T, H. The number of letters is 5. And the letter "O"…

Q: How many four letters code words are possible using the letters in COIN, if (i) the letters may not…

A:

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: Licenses plates in a particular state are to consist of 3 digits followed by 2 uppercase letters.…

A:

Q: uppercase letters. ​a) How many different license plates can there be in this state if repetition of…

A:

Q: In how many ways can you answer a true-false exam that has 5 questions

A: Given that Number of true-false questions are 5 To find Total number of ways to answer questions

Q: Arestaurant offers a 512 dinner special that has 5 choices for an appetizer, 11 choices for an…

A: Given information 5 choices for appetizer 11 choices for an entrée 3 choices for desert

Q: 1. A school has 677 students. Explain why at least two students must have the same pair of initials?…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: (a) How many different collections of 50 coins can be chosen if there are at least 50 of each kind…

A:

Q: (a) In a certain state, each automobile license plate number consists of two letters followed by a…

A: Note:- these are multiple subparts question and according to our company guideline we can do maximum…

Q: Eight cards are drawn from a standard deck of 52 cards. How many hands contain exactly 2 spades​?

A: It is a combination question. So I used  simple combination method for solving it.

Q: President Rodrigo R. Duterte together within 4 Cabinet members is holding a press conference with 6…

A:

Q: There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…

Q: 1.There are six people, and each persons shakes hands with each other. How many handshakes?

A: Combination: It is a mathematical technique that is used to find the number of possible…

Q: Twelve officers of an organization are to be divided into committees. In how many ways can the…

A:

Q: License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. ​a)…

A:

Q: How many ways are there to seat 7 people at a round table in the following two different situations?…

A: Given that Number of persons to sit at a round table = 7

Q: A club with twelve members is to choose three officers: president, vice-president, and…

A: It is given that, A club has 12 members and we have to choose three officers as president,…

Q: A family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A: