Question 146045
Permutations and Combinations are very similar.  But the greatest difference between the two is that permutations are concerned with the order of the items in a given set, where combinations are not.  For example. combination could be used to find how many ways five of eight students can be chosen to go on a field trip to the movies.  (We are only concerned with the students, not their particular arrangement).  With a permutation, we could figure out how many ways these students can be arranged to sit by one another at the movie.  (Here, order is important).


Combination:
{{{8 x 7 x 6 x 5 x 4 / 5 x 4 x 3 x 2 x 1}}}
Permutation:
8 x 7 x 6 x 5 x 4 


For the combination, there are 56 ways to select five of eight students.
And from the permutations, we know that there are 6820 ways to arrange these students.