posted by Brandon on .
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?
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.