The minimum number of trials needed to find a key for each suitcase is 6. Here's how:

1. Take the first key and try it in the first suitcase. If it doesn't fit, try it in the second suitcase. If it doesn't fit in the second one either, it must fit the third suitcase. So, in the worst-case scenario, you've found the correct suitcase for the first key in 3 trials.

2. Now, take the second key and try it in the remaining two suitcases. If it doesn't fit the first one, it must fit the second one. So, in the worst-case scenario, you've found the correct suitcase for the second key in 2 trials.

3. The third key must fit the remaining suitcase, so no trials are needed for this one.

So, in total, you need 3 trials for the first key, 2 trials for the second key, and 0 trials for the third key, which adds up to 5 trials.

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The minimum number of trials needed to find a key for each suitcase is 6. Here's how:

1. Take the first key and try it in the first suitcase. If it doesn't fit, try it in the second suitcase. If it doesn't fit in the second one either, it must fit the third suitcase. So, in the worst-case scenario, you've found the correct suitcase for the first key in 3 trials.

2. Now, take the second key and try it in the remaining two suitcases. If it doesn't fit the first one, it must fit the second one. So, in the worst-case scenario, you've found the correct suitcase for the second key in 2 trials.

3. The third key must fit the remaining suitcase, so no trials are needed for this one.

So, in total, you need 3 trials for the first key, 2 trials for the second key, and 0 trials for the third key, which adds up to 5 trials.

Knowee AI · Accepted Answer

The minimum number of trials needed to find a key for each suitcase is 6. Here's how:

1. Take the first key and try it in the first suitcase. If it doesn't fit, try it in the second suitcase. If it doesn't fit in the second one either, it must fit the third suitcase. So, in the worst-case scenario, you've found the correct suitcase for the first key in 3 trials.

2. Now, take the second key and try it in the remaining two suitcases. If it doesn't fit the first one, it must fit the second one. So, in the worst-case scenario, you've found the correct suitcase for the second key in 2 trials.

3. The third key must fit the remaining suitcase, so no trials are needed for this one.

So, in total, you need 3 trials for the first key, 2 trials for the second key, and 0 trials for the third key, which adds up to 5 trials.

5. There are three keys for three suitcases with different locks. Each key only fits one of them. What is the minimum number of trials needed to find a key for each?23456789

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