10. How many distinct sets of three positive integers have a mean of 6, a
median of 7, and no mode?
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Answer:
Mean=6
∴ Sum=6×3=18
Median=7
It must be the numbers less than 7 and greater than 7 and 7 must be included.
Examples:{1,7,10}
{2,7,9} and {3,7,8}
So there are three sets.
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