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Question

How many numbers can be made with the help of the digits 0,1,2,3,4,5which are greater than 3000 (repetition is not allowed)?


A

180

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B

360

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C

1380

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D

1500

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Solution

The correct option is C

1380


Explanation for the correct option:

The total numbers can be formed.

We have total 6 digits here which are 0,1,2,3,4,5.

We have formed numbers that are greater than 3000we can write, 4-digit numbers, 5 digit numbers and 6 digit numbers.

Thus,

Four-digit numbers =3x5x4x3=180

Five-digit numbers =5x5x4x3x2=600

Six-digit numbers =5x5x4x3x2x1=600

Therefore the total numbers formed =180+600+600=1380

Hence the correct option is C.


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