Q. How many different non-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places?

A) 16
B) 36
C) 60
D) 180
Explanation

(c)
In a nine digits number, there are four even places for the four odd digits 3, 3, 5, 5
$\therefore$ Required number of ways $= \frac{4!}{2!2!}.\frac{5!}{2!3!} = 60$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.