# Find the average value!

For each permutation $$a_1, a_2, . . . , a_{10}$$ of the integers $$1, 2, 3, . . . , 10$$, form the sum $|a_1 − a_2| + |a_3 − a_4| + |a_5 − a_6| + |a_7 − a_8| + |a_9 − a_{10}|.$ Find the average value of all such sums correct up to 2 decimal places.

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