Six digit numbers

Math Central

Quandaries & Queries

Subject: Six digit numbers
Name: Marisa
Who are you: Student

how many six digit numbers can you write using the digits 0 and 1 as many times as possible?

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 = 2⁶.

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 = 10⁶.

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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