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The number of natural numbers less than ...

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

374

B

375

C

372

D

250

Text Solution

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The correct Answer is:
A
Using the digits 0, 1, 3, 7, 9
number of one digit natural numbers that can be formed = 4,
number of two digit natural numbers that can be formed = 20,

(`because 0` can not come in 1st box)
number of three digit natural numbers that can be formed = 100

and number of four digit natural numbers less than 7000, that can be formed = 250

(`because` only 1 or 3 can come in 1st box)
`therefore` Total number of natural numbers formed
= 4 + 20 + 100 + 250 = 374
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