Quick Probability Question

[SlyR]

Can someone help settle a bet we have here at work?
A cell phone number contains eleven digits.
One recent ESN came up as 05101555151.

Excluding the exact order and the fact that some digits recur more than others, what is the P that an ESN will contain only three specific digits?

My very unqualified opinion is that the solution would have something to do with (10!)/(3!). Is that correct?

Please respond to xscott.raymond@xverizonwireless.com (remove x'es).