# My New Taxi Cab Number.

Discrete Mathematics Level 4

I got a new mobile number which is of the form ######1729 . If you want to contact me by randomly inserting the missing digits, then what is the maximum no. of wrong attempts that you may face while trying to contact me.

Details And Assumptions :

$$\bullet$$ Total no. of digits in my mobile number is 10.

$$\bullet$$ Provided that the number you will try inserting (######) is divisible by $$1729$$.

$$\bullet$$ The mobile no. does not start with Zero (0).

$$\bullet$$ No other conditions applied.

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