Duncan wants to make an aquarium. The aquariums are available in two shapes, spherical (S) or cubical ©. He can choose either goldfish (G) or fantails (F) to keep in his aquarium. Which list shows the different combinations of aquariums and fish from which Duncan can choose?

A. SG, CG, SF, CF – this is my answer
B. SG, SF, GF. SC
C. SG, SF, CF
D. CF

Gracias!

The answers to the LEAP Math Midtest- 7 (GT) are:

C
B
D
B
A
A
C
D
B
D
A
C
B
C
A
D
C
D
B
A
C
A
B
D
C
A
D
B
C
C
A
B
D
C
D
B
C
D
B
A
C
B
D
A
B
A
C
D
D
B

exatamente correto

de nada

To determine the different combinations of aquariums and fish that Duncan can choose, we need to consider all possible combinations of the two options.

First, let's list the available shapes of the aquariums:
- S (spherical)
- C (cubical)

Next, let's list the available types of fish:
- G (goldfish)
- F (fantails)

To find the different combinations, we can use a Cartesian product, which is a mathematical operation that computes the combination of two sets.

The Cartesian product of the aquarium shapes and fish types will give us all possible combinations.

Aquarium shapes: S, C
Fish types: G, F

The Cartesian product would be:
- SG (spherical aquarium + goldfish)
- SF (spherical aquarium + fantails)
- CG (cubical aquarium + goldfish)
- CF (cubical aquarium + fantails)

So, the correct answer that shows the different combinations of aquariums and fish from which Duncan can choose is:

A. SG, CG, SF, CF