In a rugby match​,a tie at the end of two overtime periods leads to a​ "shootout" with five kicks taken by each team from the center of the 22-meter line. Each kick must be taken by a different player. How many ways can 5 players be selected from the 15 eligible​ players? For the 5 selected​ players, how many ways can they be designated as first, second, third, fourth, and fifth​?

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

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Q: how many student have seen none of these movies and how many have seen 2 or more?

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Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more…

A: Number of prizes =5 Number of students = 4

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

A: There are 8 possible runners who could win the gold medal in the first-place finish. After the gold…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

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

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

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Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

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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: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

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: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

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Q: .Carmi is ranked 13th from right and 8th from left. How many students are there in total?

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Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways in which the 13 ducklings can line…

Q: Twelve students have volunteered to help clean up an oil spill. The project director needs 3 bird…

A: Twelve students have volunteered to help clean up a small oil spill. The project director needs 3…

Q: How many handshakes are required for a group of 15 people to shake everyone's hand?

A: Given information- We have given a group of 15 people. We have to find no. of handshake required to…

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

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: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border…

A: Given,no.of oak trees=4no.of maple trees=8no.of poplar trees=6Total no.of trees=18

Q: ario painted identification letters on his bicycles so that he could track which ones are being used…

A: Since every cycle is coded with three letters of English alphabets, which starts with alphabet M.…

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: In a survey of restaurant customers, 63 customers ordered french fries or a salad, 38 ordered french…

A: Given that In a survey of restaurant customers, 63 customers ordered french fries or a salad, 38…

Q: In a class of 6 girls and 5 boys, how many seating arrangements can be done

A: There are 6 girls and 5 boys in a class The seating arrangements type is  GBGBGBGBGBG So,  6!*5!…