Define an ordered quadruple of integers (a, b, c, d) to be interesting if 1 \leq a<b<c<d \leq 10 and a+d>b+c. How many interesting ordered quadruples are there?
Define an ordered quadruple of integers (a, b, c, d) to be interesting if 1 \leq a<b<c<d \leq 10 and a+d>b+c. How many interesting ordered quadruples are there?