Question

The padlock for your gym locker uses 3 number sequence to open the lock of the number goes from 1 to 27 how many different sequence are there without repeating a number

Answer 1

Answer: There are 2925 different sequences without repeating a number.

Explanation:

Since we have given that

Numbers = 1 to 27

We have to use only 3 numbers to padlock for your gym locker.

We will use "combination" for finding the number of different sequences.

So, it becomes,

`^(27)C_3=2925`

Hence, there are 2925 different sequences without repeating a number.

Answer 2

If repeating a number is not allowed :

27*26*25 = 17,550