Q16

[KayM793]

Hello,

I don't understand why the max number is 4. It seems to me that 5 needs to be in Tues. afternoon, and 6 in Wed. morning if they are to be in a numerical order. Or 6 can be in Thursday afternoon? But wouldn't that order be 5-7-6?

[ohthatpatrick]

The five days, from the rules:
( __ __ ) ( 4 __ ) (__ X) (7 __) ( X __)

We have 6 things and 6 spots left.

We have an ordering rule: 8 - 4 - 6
2, 5, and 8 are afternoons: ( ?, 2) (?, 5), (?, 8)

Q16 gives us an ordering rule: 5 - 6 - 7

Combining that with our original ordering rule, we have
8 - 4 - 6 - 7
........./
......5

We know 8 is before 4, and that 8 is an afternoon, so:
( __, 8 ) ( 4, __ ) (__ , X) (7, __) ( X, __)

Since 5 is also an afternoon, and 5 comes before 6 and 7, we know:
( __, 8 ) ( 4, 5 ) (__ , X) (7, __ ) ( X, __ )

6 is between 5 and 7, so we know:
( __ , 8 ) ( 4, 5 ) (6 , X) (7, __) ( X, __ )

The remaining pieces are 1, 2, and 3.

2 is an afternoon, so it must be Thu or Fri afternoon.

Hence we could have those go in the remaining spots in one of these four orders:
1 - 2 - 3
1 - 3 - 2
3 - 2 - 1
3 - 1- 2

Hope this helps.