How good is your divisibility ?

Probability Level pending

Let α \alpha be the number of 5 digit numbers divisible by 4 that can be formed using the digits 0 , 1 , 2 , 3 , 4 , 5 0,1,2,3,4,5 when repetition of digits is not allowed.

Let β \beta be the number of 5 digit numbers divisible by 4 that can be formed using the digits 0 , 1 , 2 , 3 , 4 , 5 0,1,2,3,4,5 when repetition of digits is allowed.

Find the value of α + β \alpha+\beta ?


The answer is 1764.

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Keshav Tiwari by Keshav Tiwari , 23, India

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