how many numbers greater than 1000000 can be formed by using the digits 1,2,0,2,4,2,4?

7. Therefore, the numbers to be counted will be 7-digit only. Also, the numbers have to

be greater than 1000000, so they can begin either with 1, 2 or 4.

The number of numbers beginning with 1 =

6! 4 5 6

3! 2! 2

× ×

= = 60, as when 1 is

fixed at the extreme left position, the remaining digits to be rearranged will be 0, 2, 2, 2,

4, 4, in which there are 3, 2s and 2, 4s.

Total numbers begining with 2

= 6! 3 4 5 6

2! 2! 2

× × ×

= = 180

and total numbers begining with 4

6! 4 5 6

3!

= = × × = 120