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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 of digits allowed) is equal to: (A) 250 (B) 374 (C) 372 (D) 375


Mic Tigre 8th Dec, 2020
Answer (1)
Parmeshwar Suhag 8th Dec, 2020

Dear Candidate,

We have to form natural numbers less than 7000. Means overall we have 4 places to fill.

1-  2-  3-   4-

Now clearly , on the first place we can't put 7 and 9, otherwise the number becames greater than 7000.

So, the first place can have digits from 0, 1 and 3 . Means it can be filled in 3 ways.

Now the second place can be filled in any 5 ways and similarly the 3rd and 4th place can be filled in 5 ways ecah because the repeatation is allowed.

So total possible natural numbers will be =

3*5*5*5 = 375

Hope this helps.

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