The number of permutations of 14 things taken 3 at a time. The number of permutations of things taken at a time is .
For your problem, you have 14 different things and you want to know how many different ways you can choose three of them given that the order of the selection matters. For example, if you have a club with 14 members, how many ways can you choose a president, vice-president, and treasurer assuming that the three positions must be filled by three different people and a selection that puts Suzie in the president position is different than a selection that puts her in either of the other positions? Simply this:
There are 14 possibilities for the first position, then for each of those possibilities there are 13 possibilities for the second position, then for each of those 14 times 13 possibilities there are 12 possibilities for the third position. In this case and so:
John
My calculator said it, I believe it, that settles it
