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Question

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

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Solution

Total number of digits = 7

Now,

Number of 7-digit numbers = 7!3!2!

=7×6×5×4×33!×2

=7×6×5×2

= 420

And, 0 cannot be first digit of the 7-digit numbers

Number of 6-digit numbers

= 6!3!2!

= 6×5×4×3!3!×2

= 6×5×2

= 60

Hence, total number of 7-digit number which are greater than 1000000= 420-60=360


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