Question

1. If you have a locker with 40 different numbers on it, how many different combinations

can you create? Remember that you have three numbers on a locker.

What is the probability that someone can randomly guess it on the first try? (take your

answer from the first part and make it 1/that number).

Answer 1

Answer:1/120

Because 40 X 3 = 120 then they have a 1/120 chance to guess it right on the first try

Answer 2

1/9880

Explanation:

Number of Combinations

`\displaystyle C(40,3)=(40!)/(3!(40-3)!)=(40!)/(3!\cdot37!)=(40*39*38)/(3*2*1)=40*13*19=9880`

Thus, the probability of guessing that exact combination on the first try is 1/9880.