Binomial Coefficient of Binomial Coefficients

Probability Level 5

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

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

Notation : Binomial Coefficient .


The answer is 5539.

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Muhammad Rasel Parvej by Muhammad Rasel Parvej , 27, Bangladesh

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1 solution

Kushal Dey
Jan 1, 2021

I just wrote a program to this. This program is written in java.

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