Question

How many six-digit odd numbers, greater than $6,00,000$, can be formed from the digits $5,6,7,8,9$ and $0$ if repetition of digits is allowed.

Answer 1

For a odd number, we must have unit place as a odd number.

And for greater than $6,00,000$ we must have the lakh place as either 6,7,8 or 9

Hence,

Lakh place can be selected in $4$ ways.

ten thousand place can be selected in $6$ ways.

and so on till unit place which can be selected in $3$ ways.

Hence, total = ${4.6}^4.3$ ways