What is the probability of having a double (two dice will show the same number) when we throw 5 dice (all dice have 6 sides)?

My calculations are:

Combinations(5,2)*6 / 5^6

When I try to find the probability of having a pair of doubles (two dice will show the same number and another two dice will show the same number) when we throw 5 dice, my calculations are the following:

 Combinations(5,2)*6 / 5^6 * Combinations(3,2)*6 / 5^6 

Is that approach correct or I should try something else?