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Q.

The number of 4 digit numbers divisible by 3 that can be formed by 4 different even digits {0,2,4,5,6,8} is ?


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a

36

b

60

c

30

d

24 

answer is A.

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Detailed Solution

Since the number is divisible by 3, the sum of the digits should be multiple of 3.
Then, The digits can be 0,2,4,6 or 0,4,6,8
Hence the required no. of numbers =(4!−3!)+(4!−3!)=36
(0 cannot come in 1st position.)
 
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