Problem 23 · 2015 Math Kangaroo
Stretch
Counting & Probability
careful-counting
Thomas drew a pig and a shark. He cuts each animal into three pieces. Then he takes one of the two heads, one of the two middle sections and one of the two tails and lays them together to make another animal. How many different animals can he make in this way?
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Answer: E — 8
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Hint 1 of 2
A new animal needs a head, a middle and a tail, and there are two choices for each part.
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Hint 2 of 2
Multiply the number of choices for the three parts.
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Approach: multiply the choices for each of the three parts
- There are 2 heads to choose from, 2 middle sections, and 2 tails.
- Each new animal is one choice for each part, so 2 × 2 × 2 = 8 animals can be built.
- The answer is 8.
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