Question

The padlock for your gym locker uses a 3 number sequence to open the lock. If

the numbers go from 1 to 22, how many different sequences are there on the dial
without repeating a number?

Answer 1

9,240

Explanation:

For the first number, there are 22 numbers available to choose from. For the second number, there are 21 numbers available, since the first number cannot be the same as the second number. And for the last number, there are 20 remaining numbers to choose from. So, there are 22*21*20=9240 possible sequences.