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
Answer (1)
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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