Question

Total number of four digit odd numbers that can be formed using $0,1,2,3,5,7$ are

• A. $192$
• B. $375$
• C. $400$
• D. $720$

Answer 1

The correct option is D $720$

we have the number $0,1,2,3,5,7$

Now the digit should be odd and hence last digit should be

filled with an odd number

$\Rightarrow$ Number of way to filled last number $=4$ $(\text{i}\text{.e}\text{.}1,3,5,7)$

$\Rightarrow$ Number of way to filled third digit $=6$ $(\text{i}\text{.e}\text{. 0,}1,2,3,5,7)$

$\Rightarrow$ Number of way to filled second digit $=6$ $(\text{i}\text{.e}\text{. 0,}1,2,3,5,7)$

$\Rightarrow$ Number of way to filled first digit $=5$ $(\text{i}\text{.e}.1,2,3,5,7)$

$\Rightarrow$ Total 4digit number $=4\times 6\times 6\times 5$

$=720$

hence,

Opton $D$ is correct answer.