Sunday, January 29, 2012

Permutations and Combinations

This week we learned about permuatations and combinations. Permutationa and combinations are formulas used to find different ways something can be ordered. The difference between a permutation and combination is that you use a permutation when the order is important and you use a combination when the order is NOT important.

Some things to know:



  • The formula for a permutation is n!/(n-r)!


  • The formula for a combination is n!/(n-r)r!


  • Your n will ALWAYS be larger than you r.

Let's do some examples to help you better understand.


Example 1: 5P3


5P3=5!/(5-3)!


=5!/2!


=5*4*3*2*1/2*1


= 60


Example 2: 5C3


5C3=5!/(5-3)3!


=5!/2!3!


=5*4*3*2*1/2*1*3*2*1


=20/2


=10


And there you have it(:


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