A five digit number divisible by 3 is to be formed using the numbers \( 0,1,2,3,4 \) and 5 witho...

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A five digit number divisible by 3 is to be formed using the numbers \( 0,1,2,3,4 \) and 5 without repetitions. The total number of ways this can be done is
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(A) 216
(B) 600
(C) 240
(D) 3125
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[Hint: 5 digit numbers can be formed using digits \( 0,1,2,4,5 \) or by using digits 1 , \( 2,3,4,5 \) since sum of digits in these cases is divisible by 3.]
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