Question

There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot

Answer 1

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

$\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720$

There are 720 different orders for the candidate name to be printed.