Question

The padlock for your gym locker uses a 3 number sequence to open the lock. If the numbers go from 1 to 27, how many different sequences are there on the dial without repeating a number?A. 17,550B. 33,696C. 16,848D. 8,775

Answer 1

We want to the different sequences possible without repeating a number.

For the first number, there are 27 ways to select it.

Since we aren't allowed to repeat numbers;

There are 26 ways to select the second number.

There are also 25 ways to select the third number.

Therefore, the different sequences possible are;

`No\text{. of ways =}27*26*25=17550\text{ ways}`