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 _______ .           [2023]


Ans.

(240)

Given digits, 1, 2, 2, 2, 3, 3, 5

Total digits = 7

Total number of seven digits =7!3!2!=420

Total number of seven digit even numbers =3×6!2!3!=180

   Total number of seven digit odd numbers = 420 - 180 = 240