At an awards ceremony, ten women and eight men are each to receive an award and are to be presented with their award one at a time. Two of the awards are to be first given to two of the women, and then the remaining awards will alternate between men and women. How many ways can this be done?

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many…

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Q: A raffle is has four prizes: $500, $250, $100 and $50. If 100 people enter the raffle, in how many…

A: A raffle has four prizes, such that, $500, $250, $100 and $50.

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

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

A:

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

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Q: A political scientist has 12 volunteers for a political opinion survey. And political scientist Alex…

A: GivenNo.of volunteers(n)=12No.of volunteers to complete different variations of the survey(r)=2

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions…

A: The objective of this question is to find out the number of different exams that are possible given…

Q: A farmer was asked how many chickens he had sold at market that day. His reply was: "I've had four…

A:

Q: There are 15 people eligible to receive 4 different awards.  The awards are in the amounts of $50,…

A: Given: There are 15 people eligible to receive 4 different awards. The awards are in the amounts of…

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: ands have volunteered to perform but there is only enough time for six of the bands to play. How…

A: The techniques used to determine how many outcomes are possible in certain circumstances are…

Q: Joey finds 13 video games that he would like to have. Three of them will run on his operating system…

A: Given: A total of 13 games are there. 10 will run on the operating system and 3 will not.

Q: Ten students are chosen to compete for seven scholarships: one is for $5,000, two is for $3,500…

A:

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: A room has 100 people, 99% of them are men. How many men should go out so that the percentage of men…

A: A room has 100 people, 99% of them are men.

Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…