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Question


The total number of ways in which a 5 digit number divisible by 3 can be formed from the digits 0,1,2,3,4,5 without repetition is?


Options:
A .   245
B .   310
C .   216
D .   345
E .   315
Answer: Option C
:
C

option (c )


Divisibility test for 3- sum of digits should be divisible by 3.


Case 1:- When 0 is not included sum = 15 divisible by 3


Number of combinations = 5! = 120


Case 2:- When 3 is not used. Sum = 12 divisible by 3


Number of combinations - 4.4..3.2 =96


Total = 120+96= 216



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