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Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is _____________.

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answer is 30.

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Detailed Solution

Here 1^st digit is 1 or 2 only

Case - I

If first digit is 1

Then last two digits can be 24, 32, 36, 52, 56, 64

Case – II

If first digit is 2 then last two digit can be 16, 36, 56, 64

Total ways = 12 + 18 = 30 ways

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