A company produces combination locks, the combination consist of three numbers from 0 to 39 inclusive . Because of the construction no number can occur twice in a combination. How many different combinations for locks can be attained?
Couldn’t understand the meaning of the line “the combination consist of three numbers from 0 to 39”? Please clarify.
three numbers are taken from 0 to 39. example of one such combination is 0, 27,39
First number can be chosen in 40 ways
Second can be chosen in 39 ways (as no repetition is allowed)
Third can be chosen in 38 ways
Answer= 40 x 39 x 38