Question

When choosing a four-number PIN.

(personal identification number)
how many different PINS are possible?

(The choice of digits 0-9 are available for each number.)

Answer 1

10,000 different PINS are possible

Explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:

`T = 10^4 = 10000`

10,000 different PINS are possible