Suitcase lock problem
umasundresh
You have recently purchased a suitcase that features a combination number lock. Each slider provides a selection of ten numbers, ranging from 0 to 9. In order to prevent anyone from opening your suitcase, you will need to come up with a secret number combination. Do you know how many different possible choices there are for secret codes?
Solution:
You have an option of ten different digits, ranging from zero to nine, for each of the digits in the slider.
Therefore, the number of different combinations that can be made are
10 X 10 X 10 = 1000 options.
If there is a condition that the digit in the slider should not be repeated, then the following applies:
You will have a choice of 10 numbers for the first slider, and 9 for the second slider and 8 for the third slider.
Which means, we have
10 X 9 X 8 = 720 options.
The following video will explain the given problem:
