Answer to Question #340437 in Statistics and Probability for die

Question

The Mathematics Club of the Ohio Science High School has six members. How many ways can this club select a president and secretary assuming that all members are eligible but no one can hold both positions?

Answer 1

If the order is important we use permutations

$$^{6}P_2=\dfrac{6!}{(6-2)!}=6(5)=30$$