Suppose there are 10 candidates in an election. After the election, an ordered list is published of the top three candidates. How many possibilities are there for this list?

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: a class has 8 males and 9 females. three are chosen without replacement. all are females  at least…

A: According to the provided information, a class has 8 males and 9 females. three are chosen without…

Q: there are 12 yellow, 5 blue, 14 red and 9 green marbles in a bag. a marble is chosen at random, not…

A: We have to find P( yellow, then green)...

Q: At a movie​ festival, a team of judges is to pick the​ first, second, and third place winners from…

A: It is given that there are totally 19 films entered at a movie festival.

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: There are 12 students running for three student council positions: president, Vice President, and…

A: There are 12 students running for three student council positions: president, Vice President, and…

Q: An Olympic final consists of two runners from each of four different countries. An ordered selection…

A: Given Total number of countries in an Olympic final =4 Total number of runners from each country =2…

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: Thirty athletes enter an Olympic event. Assuming no​ ties, how many different possibilities are…

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Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A: From the given information, the number of candidates selected for an interview (n) is 8 and the…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: 10 people is choosing a chairperson and vice chairperson

A: Given that   A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: Consider the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: A group of 10 people in s choosing a Chairperson and Vice President. They put all 10 people's names…

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Q: Suppose you have 13 juniors and 11 seniors. How many different draws of 10 names would contain…

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Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Here the given information is  On a ballot, the candidates for each office are listed together under…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

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Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A:

Q: In a lottery game, a player picks 8 numbers from 1 to 49. How many different choices does the player…

A: From the provided information,The player has to pick 8 numbers from 1 to 49.

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many ordered lists are there of five items chosen from ten

A: According to the given information in this question We need to find the value of P(10,5) We know…