Question

The number of even numbers greater than $1000000$ that can be formed using all the digits $1,2,0,2,4,2$ and $4 $ is

• A. 120
• B. 240
• C. 310
• D. 480

Answer 1

Answer: (C)

The numbers greater than $1000000$ that can be formed using all digits $1,2,0,2,4,2$ and $4$ is
$\frac{7 !}{3 ! 2 !}-\frac{6 !}{3 ! 2 !}=360$
The odd numbers greater than $1000000$ that can be formed by using $1,2,0,2,4,2$ and $4$ is
$\frac{6 !}{3 ! 2 !}-\frac{5 !}{3 ! 2 !}=50$
$\therefore $ Total even number $=360-50=310$