ANSWERS: 3
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It comes from a supposed method of motivating a stubborn mule to move forward. You attach a stick to his head and hang a carrot on the end of it. The mule wants the carrot, and keeps walking forward to try to get it. Truth told, most mules are far to smart to fall for that, but it nonetheless has become a euphemism for motivating someone with what is in truth an unobtainable reward.
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Stick and carrot refers to positive and negative motivation. The carrot is a reward - do right and you'll get the reward. The stick is punishment - you can guess this bit. It's got nothing to do with teasing a donkey with a carrot dangling from a stick.
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Jim in a nautilus coat's answer is rather like religion. But, but both Nautilus, and Pile are both correct. Nautilus- Carrot and a stick. Pile- Carrot or a stick.
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