Permutations

Permutations

There are two types of Permutations

No Repitition An example would be the first three people in a race. You can't be first and second.

Repetition is Allowed: Such as a lock combination "3-3-3"

A Permuatation is an ordered Combination

Formula:

Examples:

Real Life Applications: 1- 1. In how many different ways can 6 classes be scheduled during a 6-period day Answer: 6P6 = 6! = 7202- The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible? Answer: 9 * 9P6 = 9 * 9!/3!= 9 * 9 * 8 * 7 * 6 * 5 * 4 / (3 * 2)= 9 * 9 * 8 * 7 * 5 * 4 = 90,7203- If I''m going to organize a party and there are 4 seats for my 7 guests. How many different ways can this seats be arranged? Answer: 7P4 = 7!/4! = 820

Conclusion:We think that this topic was very interesting and useful to learn.We actually found out that it could help me out a lot during my life. For example we could find the number of arrangement of something very fast instead of counting it myself. We thought that it was going to be hard to learn, but actually it was something really easy and we think it is a cool topic because it's not complex but not that easy.

Sources: http://www.mathsisfun.com/combinatorics/combinations-permutations.htmlhttp://mathworld.wolfram.com/Permutation.htmlhttp://www.regentsprep.org/Regents/math/ALGEBRA/APR2/Lperm.htm

Gabriel PadillaManuel NeyHangjune ChoMarcus MoixP.3