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
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
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Thank you!