Question

Permutations vs combinations(one step):

Answer 1

Answer:

the expression is: $^{15}P_3=\frac{15!}{(15-3)!}$

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: $^nP_r=\frac{n!}{(n-r)!}$ where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

$^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways$

So, the expression is: $^{15}P_3=\frac{15!}{(15-3)!}$

and 2730 different ways are possible.