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Q.

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

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a

250

b

374

c

372

d

375

answer is B.

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Detailed Solution

Thousands place can be filled in 3 ways and each of the remaining places can be filled in 5 ways. Hence, required number of natural numbers is3×5×5×5−1=374
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The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition is allowed) is equal to