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

JEE MainJEE Main 2019Permutations and Combinations

Solution:

Number of numbers = $2 \times 5^3$
Required number = $5^3 + 2 \times 5^3 - 1$
= 374

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