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Consider a set of numbers $X =$ $\left \{ 1, 2, 3, 4, 5, 6, 7, 8 \right \}$.

Take every distinct two element subsets of ‘$X$’ and write down the number that is greater. [For ex- If you take the subset of $\left \{ 3, 7 \right \}$, you will write down $7$.]

The sum of all numbers that you write down is ______.
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X = {1, 2, 3, 4, 5, 6, 7, 8}

12   13   14   15   16   17  18  ,   sum of all greater number is 35

      23  24  25  26  27 28 ,          sum of all greater number is 33

            34  35  36  37  38 ,         sum of all greater number is 30

                 45 46 47 48 ,            sum of all greater number is  26

                      56 57 58 ,            sum of all greater number is  21

                          67 68 ,             sum of all greater number is 15

                            78 ,                sum of all greater number is  8

Final sum of all greater number is  35 + 33 + 30 + 26 + 21 + 15 + 8 = 168
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