A group of 10 Caltech students go to Lake Street for lunch. Each student eats at either Chipotle or Panda Express. In how many different ways can the students collectively go to lunch?
There are 10 Caltech student
There are two choices, either Chipotle or Panda Express
If all 10 go to C or PE, then it's 1
Next, 1 go to C, and 9 go to PE, it is 10
Continue doing that until you reach 5, then add 1 - 5 result up and multiply by two.
You could do 2^10 = 1024