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Q.

Number of 5 digited numbers using 0,1,2,3,4 divisible by 4 with repetition is

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a

600

b

400

c

200

d

800

answer is A.

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Detailed Solution

5 digit numbers using 0, 1, 2, 3, 4 divisible by 4 in A Number divisible by 4 if number is Last 2 places is a multiple of 4.

∴ Last 2 places can be

{00, 04, 12, 20, 24, 32, 40, 44} is 8 ways.

First place can be filled using 1, 2, 3, 4 in 4 ways.

Second, third places can be filled using 0, 1, 2, 3, 4 in 5 ways.

   No. of permutations = 4x5x5x8=800

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Number of 5 digited numbers using 0,1,2,3,4 divisible by 4 with repetition is