"As per corporate policy we need to change the passcode for the building's entrance every six months," said Lionel. "Your job is to pick the new passcode. It must have at least four numbers in it."
You smile; this is definitely the easiest task you've been given to do since joining Coldport Research and Development. Your smile fades slightly as Lionel continues talking however.
"Ms. Salem is the deputy head of IT," he says. "She must approve the passcode and she has absolute power of veto. Mr. Spencer is the head of IT. He must also approve the passcode and also has absolute power of veto."
Your confusion must show on your face as Lionel holds both of his hands up, palms towards you. "Because of the Incident," he says. "Which we don't talk about."
That makes fourteen Incidents-we-don't-talk-about so far, but you keep quiet. "This is the panel we enter passcodes on," he says. "Type the code and press the Red ENTer key."
"The last two approved passcodes were 1,2,4,5,10,11 and 1,2,7,8,10,11," he says. "Ms. Salem rejected 1,2,4,5,10 when it was proposed, as well as 1,2,4,8 and 3,4,6,10,11. Mr. Spencer rejected 1,2,3,7,8,11 and 1,2,6,7,10,11. Both of them rejected 1,2,3,4,5 which, to be honest, I was quite glad about."
Find a passcode that both Ms. Salem and Mr. Spencer will accept, and indicate why each of them will find it acceptable.
Ms. Salem's office, you notice, is cluttered: if she has only one of something it's because it's unique, whereas Mr. Spencer's office is chaotic: there seems to be neither rhyme nor reason to where things are or why they're there.