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

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Here we are available with 7 – digits, one 1, three 2’s, one 0 and two 4’s.
 Also ,the number 1000000 has 7 digits and we want to form numbers greater than 1000000.     So, the required numbers should also be of 7 digits.

The number of all type of arrangements possible with the given digits is 

                                      

Now these arrangements also include the cases when  0 is at extreme left position which makes the number a 6 digit one. The number of such numbers is 

                                              

Excluding these numbers, we get the required number of numbers = 420 – 60 = 360.

Answered by  | 4th Jun, 2014, 03:23: PM

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