a company makes combination locks with 50 numbers printed on the dial. Each lock combination is an arrangement of 3 different numbers. How many locks can the company make without repeating a combination?

Answer 1

A Permutation is an ordered Combination.

There are basically two types of permutation:

1-Repetition is Allowed.

2-No Repetition is allowed.

Your question is one without repetition.

To answer, multiply 50 x 49 x 48 =???

Why did I stop at 48?

Because the question states

"Each lock combination is an arrangement of 3 different numbers."

Now multiply the above numbers and you will find the answer.

Done!