Lemma
MediumPermutations & combinations
AQuA-RAT train #22492 · Combinatorics · Permutations & combinations

An auto assembly plant performs six functions with each frame that arrives…

An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many Y ways can the assembly line be arranged?

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #22492

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