If 2 numbers and 5 letters are chosen in any order, how many possible ordered combinations are there?

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If the two numbers came first and the five letters followed, I believe it would be

That's the end of what I am sure about.

Now I can think in terms of just 2 numbers and 5 letters and I think there might be 7C2 ways of arranging them.

so maybe there are ways.

Could you please tell me if this is right or wrong, and maybe talk me through it a bit?

Thanks.