Question

Item 3 The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

Answer 1

125,000 combinations

Explanation:

From 0 to 49 there are 50 possible values for each of the three numbers in the combination. Therefore, the number of possible combinations is given by multiplying 50 possibilities (for the first number) by 50 (for the second number) by 50 (for the third number):

`N=50*50*50\\N=125,000\ combinations`

There are 125,000 possible combinations.