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  4. Let x,y,z and w be whole numbers. Then the number of 4 digit numbers 'xyzw' that can be formed such that x < y and z>w is

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Q. Let $x,y,z$ and $w$ be whole numbers. Then the number of $4$ digit numbers $'xyzw'$ that can be formed such that $x < y$ and $z>w$ is

NTA AbhyasNTA Abhyas 2022

Solution:

$N={}_{}^{9}C_{2}^{}\cdot {}_{}^{10}C_{2}^{}$