You have one pile of 12 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 5 blocks...

Extracted text: You have one pile of 12 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 5 blocks high from the first pile and another tower 2 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) C(12,5)+C(7, 2) (B) P(12,5) · P(7, 2) (C) C(19, 7) (D) C(12,5) · C(7, 2) (E) P(12,5)+ P(7, 2) (F) 212 (G) 219 (Н) Р(19,7) O A В E O F G H