If a small monster collector has 20 small monster containment devices; intends to use all of those devices; has access to non-unique Water, Fire and Grass type small monsters; intends to capture at least two small monsters of each type; and intends to capture at least three Fire-type small monsters - how many different combinations of small monster types can that collector capture?

The collector can capture nine different types of combinations of monster types.

Explanation:

There are twenty small monster containment devices. The collector has access only to non-unique types. They are water, fire and grass types of small monsters.The collector will capture at least two of the small monsters of each type. So he will capture two types of water, two types of fire and two types of grass. After that, he will capture three different types of fire monsters.So he will capture nine different types of monsters.

There are quite a few applicable words here. modeling, programming, etc. let me know the options.