full transcript
From the Ted Talk by Alex Gendler: Can you solve the giant iron riddle?
Unscramble the Blue Letters
So instead of six btaritees, let’s take any three. This group has a total of three possible ctmbnioanois. Since both batteries have to be working for the iron to power up, a snlgie frliuae can’t tell you whether both batteries are dead, or just one. But if all three combinations fail, then you’ll know this group has either one good battery, or none at all. Now you can set those three aside and repeat the psecros for another three batteries. You might get a match, but if every combination fails again, you’ll know this set can have no more than one good battery. That would leave only two batteries untried. Since there are four good batteries in total and you’ve only accounted for two so far, both of these remaining ones must be good.
Open Cloze
So instead of six _________, let’s take any three. This group has a total of three possible ____________. Since both batteries have to be working for the iron to power up, a ______ _______ can’t tell you whether both batteries are dead, or just one. But if all three combinations fail, then you’ll know this group has either one good battery, or none at all. Now you can set those three aside and repeat the _______ for another three batteries. You might get a match, but if every combination fails again, you’ll know this set can have no more than one good battery. That would leave only two batteries untried. Since there are four good batteries in total and you’ve only accounted for two so far, both of these remaining ones must be good.
Solution
- process
- failure
- batteries
- combinations
- single
Original Text
So instead of six batteries, let’s take any three. This group has a total of three possible combinations. Since both batteries have to be working for the iron to power up, a single failure can’t tell you whether both batteries are dead, or just one. But if all three combinations fail, then you’ll know this group has either one good battery, or none at all. Now you can set those three aside and repeat the process for another three batteries. You might get a match, but if every combination fails again, you’ll know this set can have no more than one good battery. That would leave only two batteries untried. Since there are four good batteries in total and you’ve only accounted for two so far, both of these remaining ones must be good.
Frequently Occurring Word Combinations
ngrams of length 2
collocation |
frequency |
good batteries |
3 |
giant batteries |
2 |
Important Words
- accounted
- batteries
- battery
- combination
- combinations
- dead
- fail
- fails
- failure
- good
- group
- iron
- leave
- match
- power
- process
- remaining
- repeat
- set
- single
- total
- untried
- working