Question

How many numbers can be made with digits $0,7,8$ which are greater than "$0$" and less than a million?

• A. $496$
• B. $486$
• C. $1084$
• D. $728$

Answer 1

The correct option is D $728$

We are given digits $0,7,8$

Now for a numbers to be greater than $0$ any digit shall be non zero.

While for it being less than a million it must not be a $6$ digit number.

So, for all digit we have $3$ choices,

No. of ways $=3^6$

However, if all are filled with $000000$ (zero) it doesn't satisfy our criteria

$\therefore$ area $3^6-1=728$

Hence, the answer is $728.$