Question

The numbers on a certain combination lock start with 0 and go through 10. If a combination consists of 3 numbers, how many different lock combinations are possible?
1,331
1,000
30

Answer 1

See, just like probability, the combination thingy also involves multiplication if we have multiple statements to be satisfied.

If there is a combination of 3 numbers, and there are 10 possible in each, then what do you think the answer will be?

Answer 2

30

Answer 3

No, there are multiple statements to be satisfied, so it'd be \(10 * 10 * 10\)

\(\Large \color{purple}{\rightarrow 10^3 }\)
\(\Large \color{purple}{\rightarrow 1000 }\)

Answer 4

You can even apply logic.

Answer 5

If it has a three digit number, then the combinations can go from 000 to 999 which makes thousand numbers if we include 000.

Answer 6

so its 1000?

Answer 7

Yes.