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Question

The number of natural numbers less than 7,000 which can be formed by using the digits 0,1,3,7,9 (repetition of digits allowed) is equal to :

A
372
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B
375
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C
374
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D
250
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Solution

The correct option is C 374
Natural numbers less than 7,000, means first number can not be greater than 6.
There are four positions to fill.


There are 3 ways to fill the first position and there are 5 ways to fill the remaining positions.
Hence, required number
=3×5×5×51 (0000 is not included)
=374

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