Question

How many different nine- digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions?

• A. 16
• B. 36
• C. 60
• D. 180

Answer 1

The correct option is C

60

X - X - X - X -X The four digits 3,3,5,5, can be arranged (-) places in $\frac{4!}{2!2!}=6$ ways
The five digits 2,2,8,8,8, can be arranged at (x) place in $\frac{5!}{2!3!}=10$ ways