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2015 AMC 8 Question 13

AMC8 · 2015 AMC 8

Question 13

How many subsets of two elements can be removed from the set $$
\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}
$$ so that the mean (average) of the nine remaining numbers is $6?$
  1. $1$
  2. $2$
  3. $3$
  4. $5$
  5. $6$