Happy New Year 2016.

Using the digits 2, 0, 1, and 6 exactly once and in that order, come up with expressions that evaluate to the integers from 0 to 10. You may use addition, subtraction, multiplication, division, unary negative (as in –3), factorial (0! = 1; for *n* > 0, *n*! equals the product of the integers from 1 to *n*. e.g. 3! = 1 × 2 × 3 = 6), and brackets.

For example, 12 = 2 × (0 + 1) × 6 and 120 = (–2 + 0 + 1 + 6)!.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, January 27, 2016 at noon Pacific Time.** I will post the answer shortly after.