Question

A combination lock will open when the right choice of three numbers (from 1 to 36) is selected. How many different lock combinations are possible?

Answer 1

36x35x34

Answer 2

It doesn't say all three have to be different... this isn't "without replacement"

Answer 3

36x36x36
is this multiple choice?

Answer 4

ya. then 36^3

Answer 5

That should be correct... 36 * 36 * 36 = 36^3

36 choices for the first #, and for each of those, 36 choices for the 2nd #, and for each of those, 36 choices for the last number

Answer 6

A. 39,304
B. 117,912
C. 34
D. 102
here are my options if it were (1 to 34)

Answer 7

Is it 34 or 36?

34^3 is option A

Answer 8

okay thank you so much!

Answer 9

option A!

Answer 10

I'm confused about where the 34 came from though... the problem said numbers 1-36

Answer 11

the original problem is the type of problem except i had different numbers (from 1 to 34)

Answer 12

sorry for the confusion

Answer 13

oh :) Ok, got it. Yes, it's just the number of choices for each number all multiplied together.

So if you had a combo lock with 10 numbers, you would have 10 * 10 * 10 possible combinations. etc.