Question

Find the number of six digit odd numbers that are greater than $60000$ and can be formed with the digits $5,6,7,8,9,0$ when repetition of digits is allowed?

• A. $12440$
• B. $12500$
• C. $15552$
• D. $25100$

Answer 1

Answer: (C)

$15552$

We need find $6$ digit odd numbers greater than $600000$ using $5,6,7,8,9,0$

The first digit can be any of the $6$ except $0,5.$

Since number should be greater than $600000.$

The last digit must be either $5,7$ or $9$ since it should be odd. The $4$ digits in the middle can be filled with any of the six given numbers.

$\Rightarrow$ Total $=4\times 6\times 6\times 6\times 6\times 3$

$=15552$