JIPMAT 2025 (QA) - How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed? | PYQs + Solutions

JIPMAT 2025

Modern Math

Permutation & Combination

Medium

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?

✅ Correct Option: 3

Note: Repetition is not allowed

For a three-digit even, the unit place has two possibilities.

Case 1: The unit place is 2 i.e. _ _ 2

Now, Hundreds place can be filled in 4 ways (1,3,4,5) and Tens place can be filled in 3 ways.

\newline

Case 1

=4 \times 3 = 12

ways

Case 2: The unit place is 4 i.e. _ _ 4

Now, Hundreds place can be filled in 4 ways (1,2,3,5) and Tens place can be filled in 3 ways.

\newline

Case 2

=4 \times 3 = 12

ways

Total cases

= 12 + 12 = 24

Hence, the correct option is Option 3.

Related questions:

JIPMAT 2024

Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?

JIPMAT 2025 (QA) PYQs

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?

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