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CGP EDU Academic Team
Published on: August 14, 2026
The number of five-digit numbers formed with the digits 0, 1, 2,3, 4 and 5 (without repetition) and divisible by 6 are
Text Solution
Verified by ExpertsThe correct answer is:
D
108
Divisible by six means divisible by 2 as well as 3.
(i) Case-1: without 
_ _ _ 2/4
So, we have to put 2 or 4 in ones place.
Number of ways = 4 x 3 x 2 x 1 x 2 = 2x4! = 48
(ii) Case-2: without 3 and 0 at ones place
_ _ _ 0 
4x3x2x1x1 = 4! = 24
(ii) Case-2: without 3 and 2 or 4 at ones place
_ _ _ _ 2/4 
3x3x2x1x2 = 36
Total number of ways = 48 + 24 + 36 = 108
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