Question

What is the number of sequences of six digits where the number of even digits is equal to the number of odd digits?

Answer 1

Answer:

the digits ate not required to be distinct,the three even digits may be allotted in 5×5×5×=125 ways (as these are to be chosen from 0,2,4,6 and 8). similarly the odd digits can be allotted in 125 ways.hince the required number of sequences is 30×125×125=468750