



 
Hi Marisa. There are six "spots" in a six digit number and each spot has 2 choices: 0 or 1. So the answer is 2 x 2 x 2 x 2 x 2 x 2 = 2^{6}. Compare this to six digit numbers in (normal) base ten: there are still six spots, but each spot has ten choices: 10 x 10 x 10 x 10 x 10 x 10 = 10^{6}. Can you guess how many different four digit "numbers" you can make with the "digits" q, w, e, r, t, and y ? Stephen La Rocque.  


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