Acertain three-cylinder combination lock has 65 numbers on it. to open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. repetitions are allowed, and any of the 65 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) 274,625

b)

Step-by-step explanation:

a)

We have an arrangement of  3 numbers (p,q,r) each of them having 65 different possible selections.

By the Fundamental Rule of Counting, there are

65*65*65 = 274,625 different combinations.

b)

Since there is a unique combination which unlocks the device, the probability of guessing it at the first try is

answer: 590

step-by-step explanation:

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney