The number of natural numbers less than 7000 which can be formed by using the digits 0,1,3,7,9 (repetition of digits allowed) is equal to

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372

374

375

250

answer is C.

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Detailed Solution

No. of numbers using 0, 1, 3, 7, 9 No. of 1 digit Natural Numbers = 4

numbers using 0, 1, 3, 7, 9 No. of 2 digit Natural Numbers = 4(5)

numbers using 0, 1, 3, 7, 9 No. of 3 digit Natural Numbers = 4(5²)

numbers using 0, 1, 3, 7, 9 No. of 4 digit Natural Numbers = 2(5³)

Less than 7000

Total No. of Natural numbers less than 7000

Using 0, 1, 3, 7, 9=4+20+100+250=374

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