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The number of natural numbers less than ...

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

B

374

C

250

D

375

Text Solution

Verified by Experts

The correct Answer is:
B
A number less than seven thousand will be of the form X X X X, where the first digit can be either 0 or 1 or 3.
Total number of numbers `=3xx5xx5xx5=375`
Removing ‘0’ as it is NOT a natural number, answer is `375 –1 = 374`
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