Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 13, 2026

The number of 4 digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition is

A
120
B
300
C
420
D
20

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Text Solution

Verified by Experts
The correct answer is:
C

The units place can be filled in 4 ways as any one of 0, 2, 4 or 6 can be placed there. The remaining three places can be filled in with remaining 6 digits in = 120 way. So, total number of ways = 4 × 120 = 480. But, this includes those numbers in which 0 is fixed in extreme left place. Numbers of such numbers

0

×

×

×

Fix

 ways

3 ways    (only 2, 4 or 6)

∴ ∴ Required number of ways = 480 – 60 = 420.

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