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 $=360-50=310$