Suppose a youth organization wants to choose a president, vice-president and secretary for the upcoming year from its 35 person membership. in complete sentences, explain why this is a permutation. determine how many different ways the youth board can be chosen.

P(n, r)=

is the formula which gives the total number of permutations of r objects out of n.

A permutation means an arrangement in a list, be it horizontally, or vertically.

So there is a first place, a second and so on.

Example: a, b, c and a, c, b are 2 different permutations.

with these in mind:

the problem described is a permutation problem, because the order is important. 

We do not only care whether a certain person is chosen among the 3, we also care what position he/she will hold.

The total number of permutations of 3 objects out of 35 is calculated by the formula:



39, 270