Answer
2$\times$C(4,2)C(4,3)
Work Step by Step
"Alternatives" imply the addition principle
"Sequence of steps" implies the multiplication principle
--------------------
Alternative 1: 2 kings, 3 queens
STEP 1: select 2 from 4 kings ....C(4,2)
STEP 2: select 3 from 4 queens ... C(4,3)
Alternative 1 total = C(4,2)C(4,3)
Alternative 2: 3 kings, 2 queens
STEP 1: select 3 from 4 kings ....C(4,3)
STEP 2: select 2 from 4 queens ... C(4,2)
Alternative 2 total = C(4,3)C(4,2)
Total ... addition principle ... = C(4,2)C(4,3)+C(4,3)C(4,2)
=2$\times$C(4,2)C(4,3)