How many numbers greater than 1000 but not greater than 4000 can be formed with digits 0 1 2 3 4 if ...........

Quantitative Aptitude ( CCS) Permutation & Combination

How many numbers greater than 1000 but not greater than 4000 can be formed with digits 0, 1, 2, 3, 4 if repetition of digits is allowed?

375

400

425

We need a 4 digit number.

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The 1st place can be filled by 1,2,3 and 4 only. (In 4 ways)

The remaining places can be filled in 5 ways each.

So total numbers thus form are 4×5×5×5 = 500

But these ways include the number 1000 and the numbers which are greater than 4000.

So Let's check How many numbers starting with digit 4 are formed.

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1st place can filled in only 1 way and rest in 5 ways each.

1×5×5×5 = 125 ways

In these 125 numbers, a number 4000 is also there.

Means 124 numbers are there which are >4000 and 1 number is 1000 which we don't require.

500 - 125 = 375

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