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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 (repitition of digits allowed) is equal to : Option 1)     250 Option 2)     374 Option 3)     372 Option 4)     375


Mic Tigre 8th Dec, 2020
Answer (1)
shankhalikamallick 8th Dec, 2020

Hi there!

Option (B) is the correct answer.

7000 is a four digit number.

1st digit . 2nd digit . 3rd digit 4th digit

There are 3 ways to fill position 1 (i.e. 0,1,3)  and for the remaining position there are 5 ways each so,

Number of possible ways are= 3 x 5 x 5 x 5 - 1= 374

For more details view the following site:

https://www.google.com/amp/s/learn.careers360.com/engineering/question-need-explanation-for-the-number-of-natural-numbers-less-than-7000-which-can-be-formed-by-using-the-digits-01379-repitition-of-digits-allowed-is-equal-to/amp/

Thank you!

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