- #1
Vineeth T
- 31
- 0
Homework Statement
How many different six-digit numbers are there whose three digits are even and three digits are odd?
Homework Equations
No equations are required.We only need the principles of counting.
The Attempt at a Solution
I tried to split into 4 cases:
case I:there is no zero in the six digit number.such numbers =125*64*20
case II:there is one zero in the number.such numbers =125*16*5*10
case III:there are two zeroes in the number.such numbers =125*4*10*4
case IV:there are three zeroes in the number.such numbers =125*10
So the final answer will be 281250.
But the correct answer is 179550.
Can anyone show me where I have over counted ?