Question

The number of seven digits odd numbers, that can be formed using all the seven digits $1,2,2,2,3,3,5$ is_______

Answer 1

Digits are 1,2,2,2,3,3,5
If unit digit 5 , then total numbers $=\frac{6!}{3!2!}=60$
If unit digit 3 , then total numbers $=\frac{6!}{3!} =120$
If unit digit 1 , then total numbers $=\frac{6!}{3!2!}=60$
∴ total numbers =60+60+120=240
So , the correct answer is 240