Daily Math Puzzle: 2026-05-19
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2026-05-19
A tech startup has 8 identical promotional stickers to give to its three product teams: Alpha, Beta, and Gamma. Each team must receive at least one sticker, and no two teams may receive the same number of stickers. How many different ways can the stickers be distributed?
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Solution
12 — We need three distinct positive integers that add up to 8. The only sets of distinct positive numbers summing to 8 are:
1 + 2 + 5 = 8
1 + 3 + 4 = 8
For each set, the three numbers can be assigned to the three named teams in any order, i.e., 3! = 6 ways per set. Thus total ways = 6 + 6 = 12.
So the correct answer is 12.
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