There are 6 athletes at a track meet. How many different ways can they finish first or second?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

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: You want to go visit 3 of the 8 teachers you had last year. How many different ways can you visit…

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Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

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

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Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

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Q: In the freshmen class, 62% of the students take Math, 49% take Science, and 38% take both Science…

A: It is given that, P(Math) =62%=0.62 P(Science) =49%=0.49 P(Math and Science) =38%=0.38

Q: There are 46 runners in this year's school 5k race. The school has purchased 10 awards to give out…

A: Given, There are 46 runners in this year's school 5k race. The school has purchased 10 awards to…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 2…

A: The objective of this question is to find out the number of ways to choose 2 jobs out of 4. This is…

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: There are 21 juniors and 29 seniors trying out for the basketball team. You need 14 students for the…

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Q: A frozen you shop offers eight flavors and twelve toppings. How many ways of choosing one flavor and…

A: Answer:-  Given,  Total flavors=8 Total toppings =12

Q: 120 comic books. She gives 15 to each of her three nephews, then buys 4 more.

A: Assuming the question is as follows: Ms. Garcia has 120 comic books. She gives 15 to each of her…

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

A: Number of prizes = 3

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

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: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 14…

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Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

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Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

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

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: We are at altitude and they have a dunk contest. 7 people participate. How many ways can those 7…

A: Given in the question that we have total 7 participants and we have to find in how many ways can…

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: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: There are 6 boys playing soccer. 3 boys go home. Then 1 more boy goes home. How many boys are there…

A: Given that there are 6 boys playing soccer, 3 boys go home then 1 more boy goes home. We have to…

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: There are 57 runners in the race. How many ways can the runners finish first second and third.

A: given data, there are 57 runners in the race we have to find out the no. of ways can runners finish…

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

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