Question

Number of $3-$ digits odd numbers can be formed using the digits $1,2,3,4,5,6$ if

• A. The repetition of digits is not allowed is $60$
• B. The repetition of digits is allowed $208$
• C. The repetition of digits is not allowed $40$
• D. The repetition of digits is allowed $108$

Answer 1

The correct option is D The repetition of digits is allowed $108$

3 Digits odd numbers

digits $\to 1,2,3,4,5,6$

(I) Repetition is allowed

I II III

$I\to I$ digit can be any of the 6 numbers

$II\to II$ digit can also be any of the 6

numbers

$III\to III$ digit be only 1, 3 or 5

as the digit e has to be

odd numbers

$\therefore 6\times 6\times 3$

$36\times 3$

$108$