It’s 2020, a new year! Here are a couple of 2020 related brainteasers:

**1) 0-9!**^{**/*****}

Make each and every of the numbers 0-9 by combining the four digits 2, 0, 2, and 0 with arithmetic and mathematical operators. For example 0*(2+2)+0=0

**2) two different digits**^{**/*****}

The year 2020 has only 2 different digits, 0 and 2. How many of those years do we have in this centur?

**3) 0-9!**^{**/*****}

And as a sequel on 2): how many such years are there in this millennium?

You can check your solutions here

New puzzles are published at least twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.