# Binomial Summations 3

Algebra Level 3

$\displaystyle \Large \sum_{0 \le i < j \le n} \binom{n}{i} + \binom{n}{j}$

The sum is taken over all ordered pairs $$(i,j)$$ satisfying $$0 \le i < j \le n$$. If $$n = 12$$, find the value of the above sum.

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