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Question

Mathematics Question on Permutations

The number of natural numbers less than 7,0007,000 which can be formed by using the digits 0,1,3,7,90,1,3,7,9 (repitition of digits allowed) is equal to :

A

250

B

374

C

372

D

375

Answer

374

Explanation

Solution

Number of numbers = 2×532 \times 5^3
Required number = 53+2×5315^3 + 2 \times 5^3 - 1
= 374