# How many natural numbers less than a lakh can be formed with the digits 0,6 and 9?

A. 242

B. 243

C. 728

D. 729

**Answer: Option A **

__Solution(By Examveda Team)__

The digits to be used are 0,6 and 9The required numbers are from 1 to 99999

The numbers are five digit numbers.

Therefore, every place can be filled by 0, 6 and 9 in 3 ways.

Total number of ways = 3 × 3 × 3 × 3 × 3 = 3

^{5}

But 00000 is also a number formed and has to be excluded.

Total number of numbers,

= 3

^{5}- 1

= 243 - 1

= 242

In the Question, given Natural numbers and Natural Number is define as

Natural Numbers:

The numbers which are used for counting {such as 1,2,3,4,5,6,7..........so on.} are known as Natural numbers. The positive integers are also known as natural numbers.

Thus 4567 is a natural number but 0, -3, 14.6, 3/4 etc. are not natural numbers.

0 is not a natural number so it is not there.

one doubt y r we taking numbers from 1 to 99999 rather than 0 to 99999