How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with 12 horses if all orders of finish are possible?

Q: Six students are running a race. How many different ways can they come in first, second, third,…

A: From the provided information, Six students are running a race.  The number of ways these six…

Q: A bag contains 17 red marbles, 27 green marbles, and 22 blue marbles. You choose a marble at random…

A: Explanation of the answer is as follows

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: Example: A box contains six green balls, five red balls, and eight yellow balls. How many ways are…

A:

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how…

A: Answer :- A) the nine candidates can be lined in =9! Ways  B) Answer :- I take  DDDDDDRRR  is 9C6…

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: A fair coin was rolled 6 times with each outcome either head or tail. How many possible outcomes for…

A: The step by step solution of the given problem is as follows:

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: Powerball is a large lottery in which players try to guess the numbers that will turn up in a…

A: Solution: power ball number  Observed frequency  Expected frequency 1-7 8-14 15-21 22-28…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: From a survey of 60 students attending a university, it was found that 8 were living off campus, 34…

A: Here given the number of students attending the university is n(s)=60.Also, A denotes the…

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: 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: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A class has 30 students. For a school event, 15 students need to be chosen from this class. 5 of 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: How many ways are there to choose a team of 11 players from a panel of 15 players

A: How many ways are there to choose a team of 11 players from a panel of 15 players

Q: Five people (Antoine, Ben, Chloe, Damien, and Evelyn) form a club, N = {A, B, C, D, E). Chloe and…

A: Note: Hi there! Thank you for posting the question. To avoid the plagiarism issues, we have used the…

Q: In the entrepreneur project competition. You are chief guest of the competition and you have to pick…

A: since the order of selection is important so we will find permutations