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  • The number of natural numbers less than one million that can be formed by using the digits, 0,2 , and 3 isOption: 1 728<div class='qna-

The number of natural numbers less than one million that can be formed by using the digits, 0,2 , and 3 is

Option: 1

728


Option: 2

726


Option: 3

730


Option: 4

732


Answers (1)

best_answer

 The number of \mathrm{k} digit natural numbers formed by using the digit 0,2 and 3 is \mathrm{2\left(3^{k-1}\right)}.

\therefore  number of natural numbers less than one million formed by 0,2 and 3 is

=2+(2)(3)+(2)\left(3^{2}\right)+2\left(3^{3}\right)+2\left(3^{4}\right)+2\left(3^{5}\right)
=728

Posted by

Ritika Harsh

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