KöMaL 2006 B3938

The sum of integers $a_1,a_2,\ldots, a_{10}$ all greater than 1 is 2006. What is the minimal value of $\binom{a_1}{2}+\cdots+ \binom{a_{10}}{2}$ ?

Official text KöMaL. Quoted with source.

Solutions

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