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The Beauty of Mathematics: Four Apprentices
As the name implies, Wukong, Tang Priest and Bajie don't carry water, so only Friar Sand can carry water and Tang Priest must wash vegetables. If he doesn't wash vegetables, Friar Sand won't carry water. Because washing vegetables and carrying water have been done, there are two things: washing rice and burning fire. Since Bajie doesn't wash rice, Bajie can only make a fire, and Wukong washes the rest.

So Friar Sand carries water, Tang Priest washes vegetables, Bajie makes a fire, and Wukong washes rice.