Question

1 point
2. The shop offers three
different decks, two different
sets of wheels and two
different sets of hardware.
There is only one choice for a
set of trucks. How many
different skateboards can Eric
construct?
O
a. 6
O
b. 8
O
c. 10
O d. 12​

Answer 1

Answer:

Option (C) 10

Step-by-step explanation:

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Answer 2

Given,

The shop offers three distinct decks, two distinct wheelsets, and two distinct hardware sets. For a set of trucks, there is just one option.

To find,

The number of distinct skateboards Eric can build.

Solution,

Eric can build a total of 12 different skateboards. (Option D)

The following approach can be used to solve the given mathematical issue.

We know that to eventually organize and assemble a skateboard, we need one deck, one set of wheels, one set of hardware, and one set of trucks.

Now,

We must select one of three distinct decks, one of the two different sets of wheels, one of the two different sets of hardware, and one set of trucks.

Thus,

The number of different skateboards Eric can construct is as follows:

⇒ ³C₁ x ²C₁ x ²C₁ x ¹C₁

⇒ 3 x 2 x 2 x 1

⇒ 12

As a consequence, Eric can build a total of 12 distinct skateboards. (Choice D)