A certain four cylinder combination lock has 40 numbers on

Last updated: 6/30/2023

A certain four cylinder combination lock has 40 numbers on it To open it you turn to a number on the first cylinder ther to a second number on the second cylinder and then to a third number on the third cylinder and so on until a four number lock combination has been effected Repetitions are allowed and any of the 40 numbers can be used at each step to form the combination a How many different lock combinations are there b What is the probability of guessing a lock combination on the first try a The number of different four number lock combinations is Type an integer or fraction Simplify your answer