# 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

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## Comments ( 2 )

Related Questions on Permutation and Combination

A. 3! 4! 8! 4!

B. 3! 8!

C. 4! 4!

D. 8! 4! 4!

A. 7560,60,1680

B. 7890,120,650

C. 7650,200,4444

D. None of these

A. 8 × 9!

B. 8 × 8!

C. 7 × 9!

D. 9 × 8!

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