Question

How many $6$ digits odd numbers greater than $60,0000$ can be formed from the digits $5,6,7,8,9,0$ if Repetitions are allowed:

• A. $15552$
• B. $31104$
• C. $6^5$
• D. none of these

Answer 1

The correct option is A $15552$

$4,6,6,6,6,3\to$ possibles

Last digit must be odd so $3$ possibilities.

For 1st digit $4$ possibilities

$\therefore 4\times 6\times 6\times 6\times 6\times 3$

$=15552$

Hence, the answer is $15552.$