Question

A combination lock uses three integers in the combination, and the dial is numbered with the integers 0, 1, 2 and 3. If adjacent numbers in the combination cannot be the same, how many possible combinations are there

Answer 1

There can be 36 combinations.

How to find the total number of combinations?

The total number of combinations of the dial can be found by using permutations without any number repeating.

There are four integers on the dial. They are 0, 1, 2, and 3.

It is also given that the numbers shouldn't repeat on the adjacent dial.

Therefore, we can say that there are 4 possible numbers on the first.

Similarly, on the second dial, only 3 numbers are possible since no two adjacent dials can have the same.

This is also the case for the third dial. It can also have 3 possible numbers.

Therefore, the total number of combinations is given by 4*3*3 = 36 combinations.

Therefore, we have found that there can be 36 combinations.

Learn more about permutations here: https://brainly.com/question/11732255

#SPJ4