Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the…
Question and options
Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?
- 315
- 545
- 330
- 11
Answer and explanation
Correct answer: A - 315
Gifts: each of 15 gives 2 to each of the other 14, so 15x14x2 = 420. Hugs: one per pair, C(15,2) = 105. Difference = 315.
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