Problem 3 · 2025 Math Kangaroo
Easy
Counting & Probability
careful-countingcasework
Show answer
Answer: E
Show hints
Hint 1 of 2
List the sets of three different numbers from 1–6 that add up to 8.
Still stuck? Show hint 2 →
Hint 2 of 2
See which face value never appears in any of those sets.
Show solution
Approach: list all valid distinct triples summing to 8
- Three different dice faces totalling 8: only {1,2,5} and {1,3,4} work.
- Across both, the values used are 1, 2, 3, 4 and 5.
- The value 6 never occurs, so the face definitely not shown is the 6, which is choice (E).
Mark:
· log in to save