Crazy factorials

Sahiris arias Advance Algebra

5-23-2013

Factorial story Mabel has a trip coming up, but she trying to figure out where too go. She has the following

places ( Florida, Dominican republic, Hawaii, Las Vegas, California, Puerto Rico, Paris. New York city, London, Los Angeles, Miami beach) if she has the following 11 places, how many arrangements can she make for a vacation?

Vacation:

1. Florida

2. Dominican Republic

3. Hawaii

4. Las Vegas

5. Los Angeles

6. California

7. Puerto Rico

8. Paris

9. London

10. New York City

11. Miami Beach

Solution to the factorial story

11! 11,10,9,8,7,6,5,4,3,2,1 Answer: 399,16800

The final amount of outcomes is 399,16800 because you multiply the number going down by 11, when you get to 1 you multiply all the number from 11 to 1.

3 situation of real life

1. I am going to the movies with 10 of my friend and there 10 seat in the movie theater, how many arrangement will I have?

10! 10,9,8,7,6,5,4,3,2,1 Answer: 3628800

2. I am planning my sweet 16, I have 30 people coming and I need to figure out 30 different way to seat them, how many arrangement will I have?

30!30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1 Answer: 2.6 x 1032

3. I have 20 markers I need to figure out 20 different way to set them, how many arrangement will I have?

20! 20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1 Answer: 2.4 x 1018

Notes about the author

Sahiris Arias I lives in Dorchester, MA with my father, two brothers, and stepmother. I attend to Tech Boston Academy in Dorchester, MA. When am not in school I spend some times with my family and friend. I enjoy shopping, a going to the movies with my friends.