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Mathematics · 2026

JEE Main · 23 January 2026, Shift 1 · Q23

From the first 100 natural numbers, two numbers first a and then b are selected randomly without replacement. If the probability that a - b ≥ 10 is…

From the first $\displaystyle 100$ natural numbers, two numbers first a and then b are selected randomly without replacement. If the probability that $\displaystyle \mathrm{a}-\mathrm{b} \geqslant 10$ is $\displaystyle \frac{\mathrm{m}}{\mathrm{n}}, \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$, then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.