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  4. Number of integral solutions to the equation x+y+z=21, where x ≥ 1, y ≥ 3, z ≥ 4, is equal to

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Q. Number of integral solutions to the equation $x+y+z=21$, where $x \geq 1, y \geq 3, z \geq 4$, is equal to ___

JEE MainJEE Main 2023Permutations and Combinations

Solution:

${ }^{15} C _2=\frac{15 \times 14}{2}=105$