You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along. How many different groups of friends could you take with you?

Q: There are 45 boys and 61 girls signed up for camp. If an additional 5 boys and 3 girls sign up each…

A: The number of boys = 45. The number of girls =61 Let after n days the number of boys will be greater…

Q: In the recent PIIE webinar attended by 100 people, there are 30 Filipino women and 23 Filipino men.…

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Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

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Q: Cole, Tim and Howard had the same number of balls. Howard gave 1/2 of his balls to Tim. Then Tim…

A: We need to solve number puzzle problem.

Q: Ana , Maria , Pedro and Sonia will fill out 2 positions. How many ways can there be?

A: Ans#-  Ana , Maria , Pedro and Sonia will fill out 2 positions.            Find the number of ways…

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: There

A: Please refer to the image below

Q: This year, I am the adviser of a 42-member local chapter of the National Mathematics Honor Society.…

A: topic - permutation and combinatation

Q: The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a…

A: For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free . That…

Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: My daughter loves to do art projects for her friends and family with the many art supplies she has.…

A: My daughter loves to do art projects for her friends and family with the many art supplies. Suppose…

Q: A restaurant has 20 items on their menu.  If you choose four different things to eat where the order…

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Q: You and 3 friends are moving into a new apartment-style dorm. The dorm has 3 bedrooms, one with two…

A: There are totally 4 members. These 4 members must be arranged in 3 bed rooms. One bedroom has two…

Q: The grade point averages (GPA) of 15 randomly selected college students are 2.3, 3.3, 2.6, 1.8, 0.2,…

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Q: ferent ways could you schedule your free t

A: Given: Total number of hours, n = 7 hours Free time, r = 4   Use combination here, the formula is as…

Q: Tim and Tom are both members of the school's 10 person cross-country team.  The team is told to line…

A: Given : Tim and Tom are both members of the school's 10 person cross-country team. The team is told…

Q: A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jacket. How many different outfits can he wear…

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Q: jason has 8 different marbles. How many ways can he store 5 marbles in his right pocket and 3…

A: We have given that Jason has 8 different marbles.

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: As a manager in a company, your department was assigned 3 projects to work on. In your department,…

A: given data  3 projects to work on  you have 9 engineers  you want to create 3 groups of 3 engineers…

Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

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Q: Mr Mathews owns a few ice-cream trucks. If he places 5 workers in each truck, he will have 3 extra…

A: Given that  Mr Mathews owns a few ice-cream trucks. If he places 5 workers in each truck, he will…

Q: A boy owns 2 pairs of pants, 7 shirts, 4 ties, and 5 jackets. How many different outfits can he wear…

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Q: I think my classroom has four bookcases. There are the same number of books on the two red bookcases…

A: Introduction :-  Given :-  Classroom has four bookcases. There are the same number of books on the…