In a house of 10 people, how many ways can a squad of 4 people be arranged?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...
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1. In a house of 10 people, how many ways can a squad of 4 people be arranged?
15 participants have written their names on small sheets of paper for a raffle. Show
different ways on how the three names will be chosen.
2.
3. School is over, your family is planning a vacation somewhere outside the city, and
your mom is letting you bring your five favorite books. Suppose there are 12 total
books (including academic books, history books), how many different ways can
you choose the five books?
4. On a circle there are 24 points selected. How many squares with edges in these
points exist?
5. On the plane there are 6 different points (no 3 of them are lying on the same line).
By joining all the points, how many segments do you get?
Transcribed Image Text:1. In a house of 10 people, how many ways can a squad of 4 people be arranged? 15 participants have written their names on small sheets of paper for a raffle. Show different ways on how the three names will be chosen. 2. 3. School is over, your family is planning a vacation somewhere outside the city, and your mom is letting you bring your five favorite books. Suppose there are 12 total books (including academic books, history books), how many different ways can you choose the five books? 4. On a circle there are 24 points selected. How many squares with edges in these points exist? 5. On the plane there are 6 different points (no 3 of them are lying on the same line). By joining all the points, how many segments do you get?
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