Question

the 9 keys to 9 padlocks have all been mixed up. how many times must you try at the most to match each key to its correct padlock

Answer 1

Answer:

45

Step-by-step explanation:

Number of tries for the first lock = 9 (Since there are 9 keys)

Number of tries for the second lock = 8 (Since there are 8 keys left)

Number of tries for the third lock = 7 (Since there are 7 keys left)

......

Total number of max tries = 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45

Answer: The maximum number of tries needed is 45