The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place entries. If 56 poets each submitted only one poem, how many different ways could the prizes be awarded? (Do not include commas in answer.)

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: A professor provides to a class 24 possible essay questions for an upcoming test. Of the 24…

A:

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

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: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: Suppose a certain combination lock requires three selections of numbers, each from 0 through 34.…

A: Numbers are from 0 to 34. Number of choices becomes 35. As the three selections of numbers are…

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

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Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways…

A: Given data: 14 = finalists  in singing competition Top six singers receives price. To find: How many…

Q: A class of 30 students were asked if they studied physics or French

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Q: Four members from a 17-person committee are to be selected randomly to serve as chairperson,…

A: From the provided information, Four members from a 17-person committee are to be selected randomly…

Q: 15 participants have written their names on small sheets of paper for a raffle. Show different ways…

A: its a combination based question

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: List all possible combinations of pennies, nickels, dimes and quarters that have a total value of…

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Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: A child wants to pick 5 balloons from a set of 6 blue and 5 red balloons. Number of ways for picking…

A: Number of blue balloons = 6 Number of red balloons = 5

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

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Q: out of forty students in a class, 14 are taking english and 29 are taking chemistry. five students…

A: The answer is given as follows :

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: A group of 10 people is choosing a chairperson and vice-chairperson.  They put all 10 people's names…

A: From the provided information, Total people in group = 10 They are choosing a chairperson and…

Q: An order of lumber has 36 boards 12 ft long, 28 boards 10 ft long, 36 boards 8 ft long, and 12…

A:

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: t the Harris Burger Bar each customer designs their own burger by choosing: one from two types of…

A: Solution: Given information: The customers designs their own burger by choosing: one from two types…

Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…