Lemma
MediumPermutations & combinations
AQuA-RAT train #33635 · Combinatorics · Permutations & combinations

In a railway compartment, there are 2 rows of seats facing each…

In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

~8 minAnswer checked instantly

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #33635

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your answer

Checked against the answer in AQuA-RAT.