# Binomial Coefficient of Binomial Coefficients

Discrete Mathematics Level 5

$\displaystyle \Large\binom{\binom{a}{b}}{\binom{c}{d}} = 0$

How many ordered 4-tuples of integers $$(a,b,c,d)$$ between 0 and 10 inclusive are there such that they satisfy the equation above?

Notation: Binomial Coefficient.

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