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A five digit number divisible by 3 is to be formed using the digit 0,1,2,3,4,5 without repetition, The number of ways this can be done is _______

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A five digit number divisible by 3 is to be formed using the digit 0,1,2,3,4,5 without repetition, The number of ways this can be done is _______

(a) 216 

(b) 184 

(c) 256 

(d) 225

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Correct option: (a) 216

Explanation:

The number of five digit numbers except zero = 5! = 120

The number of five digit numbers except three = 5! = 4!

= 120 - 24

Total required numbers = 120 + 96 = 216

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