JEE Main 2021MathematicsPermutation CombinationEasyNumerical

JEE Main 2021 — Permutation Combination Question with Solution

JEE Main 2021 (26 Aug Shift 1)

Question

The number of three-digit even numbers, formed by the digits 0,1,3,4,6,7 if the repetition of digits is not allowed, is______.

Enter your answer

Show full solutionCorrect answer: 52
Correct answer
52

Step-by-step explanation

We have,

0,1,3,4,6,7

For three-digit even number, it must end with either 0, 4, 6

The number of three -digit even numbers ending with 0 is

=5×4=20

The number of three -digit even numbers ending with 4

=4×4=16 

The number of three -digit even numbers ending with 6

=4×4=16

 Total three digits even numbers =20+16+16=52

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Permutation Combination chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, 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.