JEE Main 2025 — Permutation Combination Question with Solution
JEE Main 2025 (28 Jan Shift 2)
Question
The number of natural numbers, between 212 and 999 , such that the sum of their digits is 15 , is
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Show full solutionCorrect answer: 64
Correct answer
64
Step-by-step explanation
Let the number be
$\begin{aligned}
& 2 a b, a+b=13 \\
& \Rightarrow a, b \in\{0,9\} \\
& \Rightarrow 6 \text { numbers }\{(9,4),(8,5) \ldots(4,9)\}
\end{aligned}$
Similarly, for numbers
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This is a previous-year question from JEE Main 2025, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.