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

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 (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Digits are 1,2,2,2,3,3,5 If unit digit 5 , then total numbers =(6 !/3 ! 2 !) If unit digit 3 , then total numbers =(6 !/3 !) If unit digit 1 , then total numbers =(6 !/3 ! 2 !) ∴ total numbers =60+60+120=240

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

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

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

Digits are 1,2,2,2,3,3,5 If unit digit 5 , then total numbers =3!2!6!​ If unit digit 3 , then total numbers =3!6!​ If unit digit 1 , then total numbers =3!2!6!​ ∴ total numbers =60+60+120=240

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

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