Problem 7 · 2017 Math Kangaroo
Easy
Counting & Probability
careful-counting
The sum of three different positive whole numbers is 7. How big is their product?
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Answer: D — 8
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Hint 1 of 2
Three different positive whole numbers — how many ways can they add to 7?
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Hint 2 of 2
There is essentially only one such set.
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Approach: find the only valid set
- The only three different positive whole numbers adding to 7 are 1, 2 and 4.
- Their product is 1 × 2 × 4 = 8.
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